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203413311132012 = 2232891791060133457
BaseRepresentation
bin101110010000000011011010…
…001001110001000101101100
3222200020010022101201021100200
4232100003122021301011230
5203130210430122211022
62000342441324553500
760563061322242642
oct5620033211610554
9880203271637320
10203413311132012
11598a5112183973
121a992a423b2890
138966a400c6797
1438333848b9192
15187b3a8adabac
hexb900da27116c

203413311132012 has 144 divisors (see below), whose sum is σ = 522930753727200. Its totient is φ = 66659768524800.

The previous prime is 203413311131981. The next prime is 203413311132127. The reversal of 203413311132012 is 210231113314302.

203413311132012 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 1 + 331 + 1 + 1 + 320 + 1 + 2 = 666.

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, 6079826388 + ... + 6079859844.

It is an arithmetic number, because the mean of its divisors is an integer number (3631463567550).

Almost surely, 2203413311132012 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 203413311132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261465376863600).

203413311132012 is an abundant number, since it is smaller than the sum of its proper divisors (319517442595188).

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

203413311132012 is a wasteful number, since it uses less digits than its factorization.

203413311132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44336 (or 44331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 203413311132012 its reverse (210231113314302), we get a palindrome (413644424446314).

The spelling of 203413311132012 in words is "two hundred three trillion, four hundred thirteen billion, three hundred eleven million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 179 267 356 358 534 537 716 801 1068 1074 1602 1611 2148 3204 3222 6444 10601 15931 21202 31803 31862 33457 42404 47793 63606 63724 66914 95409 95586 100371 127212 133828 143379 190818 191172 200742 286758 301113 381636 401484 573516 602226 943489 1204452 1886978 1897579 2830467 2977673 3773956 3795158 5660934 5692737 5955346 5988803 7590316 8491401 8933019 11321868 11385474 11910692 11977606 16982802 17078211 17866038 17966409 22770948 23955212 26799057 33965604 34156422 35732076 35932818 53598114 53899227 68312844 71865636 107196228 107798454 168884531 215596908 337769062 354677657 506653593 533003467 675538124 709355314 1013307186 1064032971 1066006934 1418710628 1519960779 1599010401 2026614372 2128065942 2132013868 3039921558 3192098913 3198020802 4256131884 4797031203 6079843116 6384197826 6396041604 9594062406 12768395652 19188124812 31566311473 63132622946 63487300603 94698934419 126265245892 126974601206 189397868838 190461901809 253949202412 284096803257 378795737676 380923803618 568193606514 571385705427 761847607236 1136387213028 1142771410854 2285542821708 5650369753667 11300739507334 16951109261001 22601479014668 33902218522002 50853327783003 67804437044004 101706655566006 203413311132012