Search a number
-
+
123022332300330 = 23451912413299503
BaseRepresentation
bin11011111110001101011110…
…011010101000110000101010
3121010120211010212012201020000
4123332031132122220300222
5112111044214032102310
61113351402415043430
734625033035645461
oct3376153632506052
9533524125181200
10123022332300330
1136220529441741
121196a676210576
135384c578a8668
142254453cc79d8
15e3515e7674c0
hex6fe35e6a8c2a

123022332300330 has 160 divisors (see below), whose sum is σ = 333905159098368. Its totient is φ = 32498774899200.

The previous prime is 123022332300317. The next prime is 123022332300331. The reversal of 123022332300330 is 33003233220321.

123022332300330 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 2 + 2 + 3 + 323 + 0 + 0 + 330 = 666.

It is a super-2 number, since 2×1230223323003302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123022332300294 and 123022332300303.

It is not an unprimeable number, because it can be changed into a prime (123022332300331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35635359 + ... + 38934861.

Almost surely, 2123022332300330 is an apocalyptic number.

123022332300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123022332300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166952579549184).

123022332300330 is an abundant number, since it is smaller than the sum of its proper divisors (210882826798038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123022332300330 is a wasteful number, since it uses less digits than its factorization.

123022332300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299954 (or 3299945 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 123022332300330 its reverse (33003233220321), we get a palindrome (156025565520651).

The spelling of 123022332300330 in words is "one hundred twenty-three trillion, twenty-two billion, three hundred thirty-two million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 241 270 382 405 482 573 723 810 955 1146 1205 1446 1719 1910 2169 2410 2865 3438 3615 4338 5157 5730 6507 7230 8595 10314 10845 13014 15471 17190 19521 21690 25785 30942 32535 39042 46031 51570 65070 77355 92062 97605 138093 154710 195210 230155 276186 414279 460310 690465 828558 1242837 1380930 2071395 2485674 3299503 3728511 4142790 6214185 6599006 7457022 9898509 12428370 16497515 18642555 19797018 29695527 32995030 37285110 49492545 59391054 89086581 98985090 148477635 178173162 267259743 296955270 445432905 534519486 630205073 795180223 890865810 1260410146 1336298715 1590360446 1890615219 2385540669 2672597430 3151025365 3781230438 3975901115 4771081338 5671845657 6302050730 7156622007 7951802230 9453076095 11343691314 11927703345 14313244014 17015536971 18906152190 21469866021 23855406690 28359228285 34031073942 35783110035 42939732042 51046610913 56718456570 64409598063 71566220070 85077684855 102093221826 107349330105 128819196126 151879422593 170155369710 214698660210 255233054565 303758845186 322047990315 455638267779 510466109130 644095980630 759397112965 911276535558 1366914803337 1518794225930 2278191338895 2733829606674 4100744410011 4556382677790 6834574016685 8201488820022 12302233230033 13669148033370 20503722050055 24604466460066 41007444100110 61511166150165 123022332300330