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131350133202552 = 233211177743933067
BaseRepresentation
bin11101110111011001010110…
…000001111101111001111000
3122020001221122121211022011200
4131313121112001331321320
5114204020033044440202
61143205230154054200
736444506514445425
oct3567312601757170
9566057577738150
10131350133202552
11389413079a1520
1212894651a1a360
13583a358bb9704
142461547a2cd4c
15102bab98c5e1c
hex77765607de78

131350133202552 has 96 divisors (see below), whose sum is σ = 388082538305280. Its totient is φ = 39802804073280.

The previous prime is 131350133202527. The next prime is 131350133202593. The reversal of 131350133202552 is 255202331053131.

131350133202552 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 50 + 1 + 33 + 20 + 2 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140305923 + ... + 141238989.

It is an arithmetic number, because the mean of its divisors is an integer number (4042526440680).

Almost surely, 2131350133202552 is an apocalyptic number.

131350133202552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131350133202552 is an abundant number, since it is smaller than the sum of its proper divisors (256732405102728).

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

131350133202552 is a wasteful number, since it uses less digits than its factorization.

131350133202552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110833 (or 1110826 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 131350133202552 its reverse (255202331053131), we get a palindrome (386552464255683).

The spelling of 131350133202552 in words is "one hundred thirty-one trillion, three hundred fifty billion, one hundred thirty-three million, two hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 177743 355486 533229 710972 933067 1066458 1421944 1599687 1866134 1955173 2132916 2799201 3199374 3732268 3910346 4265832 5598402 5865519 6398748 7464536 7820692 8397603 10263737 11196804 11731038 12797496 15641384 16795206 17596557 20527474 22393608 23462076 30791211 33590412 35193114 41054948 46924152 61582422 67180824 70386228 82109896 92373633 123164844 140772456 184747266 246329688 369494532 738989064 165846127781 331692255562 497538383343 663384511124 995076766686 1326769022248 1492615150029 1824307405591 1990153533372 2985230300058 3648614811182 3980307066744 5472922216773 5970460600116 7297229622364 10945844433546 11940921200232 14594459244728 16418766650319 21891688867092 32837533300638 43783377734184 65675066601276 131350133202552