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131333232960 = 2632545601817
BaseRepresentation
bin111101001010000010…
…0100001100101000000
3110112222211122111102100
41322110010201211000
54122432301423320
6140200022550400
712326363026626
oct1722404414500
9415884574370
10131333232960
1150775205856
1221553298400
13c500177187
1464dc59b516
153639e1a790
hex1e94121940

131333232960 has 84 divisors (see below), whose sum is σ = 451731609108. Its totient is φ = 35022194688.

The previous prime is 131333232917. The next prime is 131333232991. The reversal of 131333232960 is 69232333131.

131333232960 is a `hidden beast` number, since 1 + 3 + 1 + 333 + 232 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69164792064 + 62168440896 = 262992^2 + 249336^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22798029 + ... + 22803788.

Almost surely, 2131333232960 is an apocalyptic number.

131333232960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333232960 is an abundant number, since it is smaller than the sum of its proper divisors (320398376148).

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

131333232960 is a wasteful number, since it uses less digits than its factorization.

131333232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601840 (or 45601827 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 131333232960 in words is "one hundred thirty-one billion, three hundred thirty-three million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 45601817 91203634 136805451 182407268 228009085 273610902 364814536 410416353 456018170 547221804 684027255 729629072 820832706 912036340 1094443608 1368054510 1459258144 1641665412 1824072680 2052081765 2188887216 2736109020 2918516288 3283330824 3648145360 4104163530 4377774432 5472218040 6566661648 7296290720 8208327060 8755548864 10944436080 13133323296 14592581440 16416654120 21888872160 26266646592 32833308240 43777744320 65666616480 131333232960