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232113323013 = 31113101149157229
BaseRepresentation
bin1101100000101100001…
…0000011110000000101
3211012010101011112001020
43120023002003300011
512300332002314023
6254344214021353
722524661456305
oct3301302036005
9735111145036
10232113323013
118a490a13080
1238b9a347859
1318b71488360
14b33d083605
156087897de3
hex360b083c05

232113323013 has 128 divisors (see below), whose sum is σ = 373633344000. Its totient is φ = 126337536000.

The previous prime is 232113323009. The next prime is 232113323059. The reversal of 232113323013 is 310323311232.

It is not a de Polignac number, because 232113323013 - 22 = 232113323009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113323003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1013595183 + ... + 1013595411.

It is an arithmetic number, because the mean of its divisors is an integer number (2919010500).

Almost surely, 2232113323013 is an apocalyptic number.

It is an amenable number.

232113323013 is a deficient number, since it is larger than the sum of its proper divisors (141520020987).

232113323013 is a wasteful number, since it uses less digits than its factorization.

232113323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 232113323013 its reverse (310323311232), we get a palindrome (542436634245).

The spelling of 232113323013 in words is "two hundred thirty-two billion, one hundred thirteen million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 11 13 33 39 101 143 149 157 229 303 429 447 471 687 1111 1313 1639 1727 1937 2041 2519 2977 3333 3939 4917 5181 5811 6123 7557 8931 14443 15049 15857 21307 22451 23129 23393 32747 34121 35953 43329 45147 47571 63921 67353 69387 70179 98241 102363 107859 165539 174427 195637 206141 254419 257323 300677 304109 375331 395483 443573 467389 496617 523281 586911 618423 763257 771969 902031 912327 1125993 1186449 1330719 1402167 2152007 2267551 2362693 3307447 3345199 3446221 3631253 4879303 5141279 5356997 6456021 6802653 7088079 9922341 10035597 10338663 10893759 14637909 15423837 16070991 25989623 30715009 37908431 39943783 44800873 47206289 58926967 69640961 77968869 92145027 113725293 119831349 134402619 141618867 176780901 208922883 337865099 492809603 519269179 541056697 766050571 1013595297 1478428809 1557807537 1623170091 2298151713 5951623667 7033737061 17854871001 21101211183 77371107671 232113323013