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31331313020124 = 223213283331714691
BaseRepresentation
bin1110001111110111000111…
…10010000110110011011100
311002221020121002000110002100
413013323203302012303130
513101313012113120444
6150345223445325100
76412420100345505
oct707734362066334
9132836532013070
1031331313020124
119a8a598437777
123620275406790
1314636b7944b60
147a462d4cdbac
15394eecc3ae69
hex1c7ee3c86cdc

31331313020124 has 144 divisors (see below), whose sum is σ = 85850884223104. Its totient is φ = 9577303401600.

The previous prime is 31331313020081. The next prime is 31331313020191. The reversal of 31331313020124 is 42102031313313.

31331313020124 is a `hidden beast` number, since 3 + 1 + 331 + 3 + 1 + 302 + 0 + 1 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43481619 + ... + 44196309.

Almost surely, 231331313020124 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 31331313020124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42925442111552).

31331313020124 is an abundant number, since it is smaller than the sum of its proper divisors (54519571202980).

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

31331313020124 is a wasteful number, since it uses less digits than its factorization.

31331313020124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715328 (or 715323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31331313020124 its reverse (42102031313313), we get a palindrome (73433344333437).

The spelling of 31331313020124 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred thirteen million, twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 283 331 468 566 662 849 993 1132 1324 1698 1986 2547 2979 3396 3679 3972 4303 5094 5958 7358 8606 10188 11037 11916 12909 14716 17212 22074 25818 33111 38727 44148 51636 66222 77454 93673 132444 154908 187346 281019 374692 562038 714691 843057 1124076 1217749 1429382 1686114 2144073 2435498 2858764 3372228 3653247 4288146 4870996 6432219 7306494 8576292 9290983 10959741 12864438 14612988 18581966 21919482 25728876 27872949 37163932 43838964 55745898 83618847 111491796 167237694 202257553 236562721 334475388 404515106 473125442 606772659 709688163 809030212 946250884 1213545318 1419376326 1820317977 2129064489 2427090636 2629348189 2838752652 3075315373 3640635954 4258128978 5258696378 6150630746 7281271908 7888044567 8516257956 9225946119 10517392756 12301261492 15776089134 18451892238 23664133701 27677838357 31552178268 36903784476 47328267402 55355676714 66947250043 94656534804 110711353428 133894500086 200841750129 267789000172 401683500258 602525250387 803367000516 870314250559 1205050500774 1740628501118 2410101001548 2610942751677 3481257002236 5221885503354 7832828255031 10443771006708 15665656510062 31331313020124