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131033864196 = 2232603312
BaseRepresentation
bin111101000001000111…
…0100001100000000100
3110112012222022222200100
41322002032201200010
54121324132123241
6140110210244100
712316066316454
oct1720216414004
9415188288610
10131033864196
1150631222654
122148ab86630
13c48313a7b1
1464b090dd64
15361d9d39b6
hex1e823a1804

131033864196 has 27 divisors (see below), whose sum is σ = 331229980263. Its totient is φ = 43677230760.

The previous prime is 131033864191. The next prime is 131033864279. The reversal of 131033864196 is 691468330131.

It is a happy number.

The square root of 131033864196 is 361986.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1310338641962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131033864191) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2141751 + ... + 2202081.

Almost surely, 2131033864196 is an apocalyptic number.

131033864196 is the 361986-th square number.

It is an amenable number.

131033864196 is an abundant number, since it is smaller than the sum of its proper divisors (200196116067).

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

131033864196 is an frugal number, since it uses more digits than its factorization.

131033864196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120672 (or 60336 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 131033864196 in words is "one hundred thirty-one billion, thirty-three million, eight hundred sixty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 60331 120662 180993 241324 361986 542979 723972 1085958 2171916 3639829561 7279659122 10919488683 14559318244 21838977366 32758466049 43677954732 65516932098 131033864196