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232110131312 = 241779101106949
BaseRepresentation
bin1101100000101011010…
…1111000100001110000
3211012010011011100212002
43120022311320201300
512300330143200222
6254344021353132
722524622364123
oct3301265704160
9735104140762
10232110131312
118a48a133104
1238b992687a8
1318b7090b687
14b33c8923ba
156087467392
hex360ad78870

232110131312 has 80 divisors (see below), whose sum is σ = 486973296000. Its totient is φ = 106776883200.

The previous prime is 232110131303. The next prime is 232110131317. The reversal of 232110131312 is 213131011232.

It is a happy number.

It is a super-2 number, since 2×2321101313122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232110131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2116814 + ... + 2223762.

It is an arithmetic number, because the mean of its divisors is an integer number (6087166200).

Almost surely, 2232110131312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232110131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243486648000).

232110131312 is an abundant number, since it is smaller than the sum of its proper divisors (254863164688).

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

232110131312 is a wasteful number, since it uses less digits than its factorization.

232110131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107154 (or 107148 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 232110131312 its reverse (213131011232), we get a palindrome (445241142544).

The spelling of 232110131312 in words is "two hundred thirty-two billion, one hundred ten million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 79 101 136 158 202 272 316 404 632 808 1264 1343 1616 1717 2686 3434 5372 6868 7979 10744 13736 15958 21488 27472 31916 63832 106949 127664 135643 213898 271286 427796 542572 855592 1085144 1711184 1818133 2170288 3636266 7272532 8448971 10801849 14545064 16897942 21603698 29090128 33795884 43207396 67591768 86414792 135183536 143632507 172829584 183631433 287265014 367262866 574530028 734525732 853346071 1149060056 1469051464 1706692142 2298120112 2938102928 3413384284 6826768568 13653537136 14506883207 29013766414 58027532828 116055065656 232110131312