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12311023233313 = 719243732935297
BaseRepresentation
bin1011001100100110001000…
…1010101010100100100001
31121120220220101011101220001
42303021202022222210201
53103200433421431223
642103334521220001
72410304426614330
oct263114212524441
947526811141801
1012311023233313
113a17091738482
121469b60931601
136b3c031bbb4c
14307bdcb1bd17
1516538820c9ad
hexb32622aa921

12311023233313 has 96 divisors (see below), whose sum is σ = 15458190080256. Its totient is φ = 9595994075136.

The previous prime is 12311023233277. The next prime is 12311023233347. The reversal of 12311023233313 is 31333232011321.

It is a happy number.

It is not a de Polignac number, because 12311023233313 - 237 = 12173584279841 is a prime.

It is a super-3 number, since 3×123110232333133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12311023233373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2324147481 + ... + 2324152777.

It is an arithmetic number, because the mean of its divisors is an integer number (161022813336).

Almost surely, 212311023233313 is an apocalyptic number.

It is an amenable number.

12311023233313 is a deficient number, since it is larger than the sum of its proper divisors (3147166846943).

12311023233313 is a wasteful number, since it uses less digits than its factorization.

12311023233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 12311023233313 its reverse (31333232011321), we get a palindrome (43644255244634).

The spelling of 12311023233313 in words is "twelve trillion, three hundred eleven billion, twenty-three million, two hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 7 19 43 73 133 293 301 361 511 817 1387 2051 2527 3139 5297 5567 5719 9709 12599 15523 21389 21973 26353 37079 38969 59641 88193 100643 105773 108661 149723 184471 227771 239381 386681 406391 417487 704501 740411 919727 1133179 1552021 1594397 1675667 1912217 2706767 2844737 4327649 4548239 6438089 7346939 7721429 7932253 10864147 13385519 16627283 17474813 29488399 30293543 31837673 51428573 54050003 66736903 82225331 113297533 116390981 122323691 139591841 206418793 315918377 332021447 467158321 560279581 575577317 793082731 977142887 1268001157 2152653127 2211428639 2324150129 3921957067 4871793919 6002449163 8876008099 15068571889 24092021983 34102557433 40900409413 42017144141 92564084461 168644153881 286302865891 647948591227 1758717604759 12311023233313