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133023321123231 = 37111743799971749
BaseRepresentation
bin11110001111101111100111…
…110011010110100110011111
3122102222220102222002101001210
4132033233213303112212133
5114413423230201420411
61150530023050035503
740006421622222510
oct3617574763264637
9572886388071053
10133023321123231
1139426967954a70
1212b04989118b93
13592c078859796
1424bc512494a07
15105a3963ceca6
hex78fbe7cd699f

133023321123231 has 128 divisors (see below), whose sum is σ = 242615070720000. Its totient is φ = 62721497180160.

The previous prime is 133023321123227. The next prime is 133023321123247. The reversal of 133023321123231 is 132321123320331.

It is not a de Polignac number, because 133023321123231 - 22 = 133023321123227 is a prime.

It is a super-2 number, since 2×1330233211232312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023321123211) 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, 8354145 + ... + 18325893.

It is an arithmetic number, because the mean of its divisors is an integer number (1895430240000).

Almost surely, 2133023321123231 is an apocalyptic number.

133023321123231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133023321123231 is a deficient number, since it is larger than the sum of its proper divisors (109591749596769).

133023321123231 is a wasteful number, since it uses less digits than its factorization.

133023321123231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971909.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 133023321123231 its reverse (132321123320331), we get a palindrome (265344444443562).

The spelling of 133023321123231 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 43 51 77 79 119 129 187 231 237 301 357 473 553 561 731 869 903 1309 1343 1419 1659 2193 2607 3311 3397 3927 4029 5117 6083 8041 9401 9933 10191 14773 15351 18249 23779 24123 28203 37367 44319 56287 57749 71337 103411 112101 168861 173247 261569 310233 404243 635239 784707 1212729 1905717 4446673 9971749 13340019 29915247 69802243 109689239 169519733 209406729 329067717 428785207 508559199 767824673 787768171 1186638131 1286355621 1864717063 2303474019 2363304513 3001496449 3559914393 4716637277 5514377197 5594151189 7289348519 8665449881 9004489347 13053019441 13392058907 14149911831 16543131591 21868045557 25996349643 33016460939 33874031353 39159058323 40176176721 51025439633 60658149167 80182833709 93744412349 99049382817 101622094059 147312647977 153076318899 181974447501 237118219471 240548501127 281233237047 372614344883 441937943931 561279835963 575858533001 711354658413 1031188535839 1117843034649 1683839507889 1727575599003 2608300414181 3093565607517 4031009731007 6334443863011 7824901242543 12093029193021 19003331589033 44341107041077 133023321123231