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232110130122 = 234131719341219
BaseRepresentation
bin1101100000101011010…
…1111000001111001010
3211012010011011022020000
43120022311320033022
512300330143130442
6254344021343430
722524622360503
oct3301265701712
9735104138200
10232110130122
118a48a132222
1238b99267b76
1318b7090ac80
14b33c891baa
156087466d4c
hex360ad783ca

232110130122 has 160 divisors (see below), whose sum is σ = 624268814400. Its totient is φ = 63679468032.

The previous prime is 232110130117. The next prime is 232110130123. The reversal of 232110130122 is 221031011232.

232110130122 is a `hidden beast` number, since 232 + 110 + 1 + 301 + 22 = 666.

232110130122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321101301222 (a number of 24 digits) contains 22 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 = 232110130095 and 232110130104.

It is not an unprimeable number, because it can be changed into a prime (232110130123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509629 + ... + 850847.

It is an arithmetic number, because the mean of its divisors is an integer number (3901680090).

Almost surely, 2232110130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232110130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312134407200).

232110130122 is an abundant number, since it is smaller than the sum of its proper divisors (392158684278).

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

232110130122 is a wasteful number, since it uses less digits than its factorization.

232110130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341282 (or 341273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232110130122 its reverse (221031011232), we get a palindrome (453141141354).

The spelling of 232110130122 in words is "two hundred thirty-two billion, one hundred ten million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 247 306 323 342 351 442 459 494 513 646 663 702 741 918 969 1026 1053 1326 1377 1482 1539 1938 1989 2106 2223 2754 2907 3078 3978 4199 4446 5814 5967 6669 8398 8721 11934 12597 13338 17442 17901 20007 25194 26163 35802 37791 40014 52326 75582 113373 226746 340119 341219 680238 682438 1023657 2047314 3070971 4435847 5800723 6141942 6483161 8871694 9212913 11601446 12966322 13307541 17402169 18425826 19449483 26615082 27638739 34804338 38898966 39922623 52206507 55277478 58348449 75409399 79845246 84281093 104413014 110213737 116696898 119767869 150818798 156619521 168562186 175045347 220427474 226228197 239535738 252843279 313239042 330641211 350090694 359303607 452456394 469858563 505686558 525136041 661282422 678684591 718607214 758529837 939717126 991923633 1050272082 1357369182 1432778581 1517059674 1983847266 2036053773 2275589511 2865557162 2975770899 4072107546 4298335743 4551179022 5951541798 6108161319 6826768533 8596671486 8927312697 12216322638 12895007229 13653537066 17854625394 25790014458 38685021687 77370043374 116055065061 232110130122