Search a number
-
+
2313000021222 = 23211231229413267
BaseRepresentation
bin100001101010001001100…
…010110110110011100110
322012010020221121101021200
4201222021202312303212
5300344011001134342
64530324425423330
7326052203534052
oct41521142666346
98163227541250
102313000021222
11811a35237480
1231433703ab46
1313a165771517
147dd42364c62
1540276ae494c
hex21a898b6ce6

2313000021222 has 96 divisors (see below), whose sum is σ = 5709446196480. Its totient is φ = 669887655360.

The previous prime is 2313000021217. The next prime is 2313000021301. The reversal of 2313000021222 is 2221200003132.

It is a super-3 number, since 3×23130000212223 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313000021195 and 2313000021204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5390233 + ... + 5803499.

It is an arithmetic number, because the mean of its divisors is an integer number (59473397880).

Almost surely, 22313000021222 is an apocalyptic number.

2313000021222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313000021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854723098240).

2313000021222 is an abundant number, since it is smaller than the sum of its proper divisors (3396446175258).

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

2313000021222 is a wasteful number, since it uses less digits than its factorization.

2313000021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414538 (or 414535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2313000021222 its reverse (2221200003132), we get a palindrome (4534200024354).

The spelling of 2313000021222 in words is "two trillion, three hundred thirteen billion, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1229 1518 2277 2458 3687 4554 7374 11061 13519 22122 27038 28267 40557 56534 81114 84801 121671 169602 243342 254403 310937 413267 508806 621874 826534 932811 1239801 1865622 2479602 2798433 3719403 4545937 5596866 7438806 9091874 9505141 13637811 19010282 27275622 28515423 40913433 57030846 81826866 85546269 104556551 171092538 209113102 313669653 507905143 627339306 941008959 1015810286 1523715429 1882017918 3047430858 4571146287 5586956573 9142292574 11173913146 11681818289 16760869719 23363636578 33521739438 35045454867 50282609157 70090909734 100565218314 105136364601 128500001179 210272729202 257000002358 385500003537 771000007074 1156500010611 2313000021222