Search a number
-
+
123102001011222 = 237414091678337
BaseRepresentation
bin11011111111010111101011…
…000010101001101000010110
3121010212102210002221120000000
4123333113223002221220112
5112113400344224324342
61113452140100032130
734633553225552562
oct3377275302515026
9533772702846000
10123102001011222
11362512a1343372
1211981bab092646
13538c6131a89cc
142258250a666a2
15e37273ae644c
hex6ff5eb0a9a16

123102001011222 has 128 divisors (see below), whose sum is σ = 284385646742400. Its totient is φ = 39935266652160.

The previous prime is 123102001011211. The next prime is 123102001011277. The reversal of 123102001011222 is 222110100201321.

123102001011222 is a `hidden beast` number, since 1 + 231 + 0 + 200 + 1 + 0 + 11 + 222 = 666.

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 = 123102001011195 and 123102001011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72508438 + ... + 74186774.

It is an arithmetic number, because the mean of its divisors is an integer number (2221762865175).

Almost surely, 2123102001011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123102001011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142192823371200).

123102001011222 is an abundant number, since it is smaller than the sum of its proper divisors (161283645731178).

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

123102001011222 is an equidigital number, since it uses as much as digits as its factorization.

123102001011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678810 (or 1678792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123102001011222 its reverse (222110100201321), we get a palindrome (345212101212543).

The spelling of 123102001011222 in words is "one hundred twenty-three trillion, one hundred two billion, one million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 409 486 729 738 818 1107 1227 1458 2187 2214 2454 3321 3681 4374 6642 7362 9963 11043 16769 19926 22086 29889 33129 33538 50307 59778 66258 89667 99387 100614 150921 179334 198774 298161 301842 452763 596322 894483 905526 1358289 1678337 1788966 2716578 3356674 4074867 5035011 8149734 10070022 12224601 15105033 24449202 30210066 36673803 45315099 68811817 73347606 90630198 135945297 137623634 206435451 271890594 407835891 412870902 619306353 686439833 815671782 1223507673 1238612706 1372879666 1857919059 2059319499 2447015346 3670523019 3715838118 4118638998 5573757177 6177958497 7341046038 11147514354 12355916994 16721271531 18533875491 28144033153 33442543062 37067750982 50163814593 55601626473 56288066306 84432099459 100327629186 111203252946 150491443779 166804879419 168864198918 253296298377 300982887558 333609758838 500414638257 506592596754 759888895131 1000829276514 1501243914771 1519777790262 2279666685393 3002487829542 4559333370786 6839000056179 13678000112358 20517000168537 41034000337074 61551000505611 123102001011222