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131334101433054 = 233134718119219689
BaseRepresentation
bin11101110111001010011010…
…011101100111101011011110
3122020000102021100020000211000
4131313022122131213223132
5114203234214431324204
61143154015301411130
736443401315606602
oct3567123235475336
9566012240200730
10131334101433054
1138935530427843
1212891518a09aa6
1358389a268bc80
14246086678b502
15102b47c207039
hex77729a767ade

131334101433054 has 128 divisors (see below), whose sum is σ = 321010324992000. Its totient is φ = 39548332180224.

The previous prime is 131334101433053. The next prime is 131334101433167. The reversal of 131334101433054 is 450334101433131.

131334101433054 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 341 + 0 + 1 + 4 + 3 + 305 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131334101433053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597708442 + ... + 597928130.

It is an arithmetic number, because the mean of its divisors is an integer number (2507893164000).

Almost surely, 2131334101433054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131334101433054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160505162496000).

131334101433054 is an abundant number, since it is smaller than the sum of its proper divisors (189676223558946).

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

131334101433054 is a wasteful number, since it uses less digits than its factorization.

131334101433054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237879 (or 237873 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 131334101433054 its reverse (450334101433131), we get a palindrome (581668202866185).

The spelling of 131334101433054 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, one hundred one million, four hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2538 3666 5499 10998 16497 18119 32994 36238 54357 108714 163071 219689 235547 326142 439378 471094 489213 659067 706641 851593 978426 1318134 1413282 1703186 1977201 2119923 2554779 2855957 3954402 4239846 5109558 5711914 5931603 6359769 7664337 8567871 10325383 11070709 11863206 12719538 15328674 17135742 20650766 22141418 22993011 25703613 30976149 33212127 45986022 51407226 61952298 66424254 77110839 92928447 99636381 134229979 154221678 185856894 199272762 268459958 278785341 298909143 402689937 557570682 597818286 805379874 1208069811 2416139622 3624209433 3980544991 7248418866 7961089982 11941634973 23883269946 35824904919 51747084883 71649809838 103494169766 107474714757 155241254649 187085614577 214949429514 310482509298 374171229154 465723763947 561256843731 931447527894 1122513687462 1397171291841 1683770531193 2432112989501 2794342583682 3367541062386 4864225979002 5051311593579 7296338968503 10102623187158 14592677937006 21889016905509 43778033811018 65667050716527 131334101433054