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131123312192 = 2611587176819
BaseRepresentation
bin111101000011110001…
…1101111011001000000
3110112110012122102021002
41322013203233121000
54122020031442232
6140123123351132
712321233523005
oct1720743573100
9415405572232
10131123312192
1150677767214
12214b4b224a8
13c4988283c2
1464bc7558ac
1536267a1b62
hex1e878ef640

131123312192 has 28 divisors (see below), whose sum is σ = 260221750320. Its totient is φ = 65555627136.

The previous prime is 131123312191. The next prime is 131123312197. The reversal of 131123312192 is 291213321131.

It is a super-3 number, since 3×1311233121923 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131123312191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653159 + ... + 829977.

It is an arithmetic number, because the mean of its divisors is an integer number (9293633940).

Almost surely, 2131123312192 is an apocalyptic number.

It is an amenable number.

131123312192 is a deficient number, since it is larger than the sum of its proper divisors (129098438128).

131123312192 is a wasteful number, since it uses less digits than its factorization.

131123312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188418 (or 188408 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The spelling of 131123312192 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 11587 23174 46348 92696 176819 185392 353638 370784 707276 741568 1414552 2829104 5658208 11316416 2048801753 4097603506 8195207012 16390414024 32780828048 65561656096 131123312192