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331033113012132 = 223337978571102931
BaseRepresentation
bin100101101000100101010011…
…1000111000010011110100100
31121102002110022211001002001000
41023101022213013002132210
5321342121303412342012
63132014302424433300
7126504232064655306
oct11321124707023644
91542073284032030
10331033113012132
119652839a3095a3
1231164527918830
131129339a1075ab
145ba6133c97976
152840de6e41ddc
hex12d12a71c27a4

331033113012132 has 96 divisors (see below), whose sum is σ = 860517778265600. Its totient is φ = 110050755040800.

The previous prime is 331033113012101. The next prime is 331033113012139. The reversal of 331033113012132 is 231210311330133.

331033113012132 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 331 + 1 + 301 + 21 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331033113012096 and 331033113012105.

It is not an unprimeable number, because it can be changed into a prime (331033113012139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216016707 + ... + 3216119637.

Almost surely, 2331033113012132 is an apocalyptic number.

It is an amenable number.

331033113012132 is an abundant number, since it is smaller than the sum of its proper divisors (529484665253468).

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

331033113012132 is a wasteful number, since it uses less digits than its factorization.

331033113012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181894 (or 181886 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331033113012132 its reverse (231210311330133), we get a palindrome (562243424342265).

The spelling of 331033113012132 in words is "three hundred thirty-one trillion, thirty-three billion, one hundred thirteen million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 379 758 1137 1516 2274 3411 4548 6822 10233 13644 20466 40932 78571 102931 157142 205862 235713 308793 314284 411724 471426 617586 707139 926379 942852 1235172 1414278 1852758 2121417 2779137 2828556 3705516 4242834 5558274 8485668 11116548 29778409 39010849 59556818 78021698 89335227 117032547 119113636 156043396 178670454 234065094 268005681 351097641 357340908 468130188 536011362 702195282 804017043 1053292923 1072022724 1404390564 1608034086 2106585846 3216068172 4213171692 8087391601 16174783202 24262174803 32349566404 48524349606 72786524409 97048699212 145573048818 218359573227 291146097636 436719146454 873438292908 3065121416779 6130242833558 9195364250337 12260485667116 18390728500674 27586092751011 36781457001348 55172185502022 82758278253033 110344371004044 165516556506066 331033113012132