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131926100 = 22521319261
BaseRepresentation
bin1111101110100…
…00100001010100
3100012020112120212
413313100201110
5232233113400
621031344552
73161232125
oct767204124
9305215525
10131926100
1168518039
1238222158
13214413a7
141374204c
15b8ae335
hex7dd0854

131926100 has 18 divisors (see below), whose sum is σ = 286279854. Its totient is φ = 52770400.

The previous prime is 131926087. The next prime is 131926121. The reversal of 131926100 is 1629131.

It is a happy number.

131926100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3511876 + 128414224 = 1874^2 + 11332^2 .

It is a super-2 number, since 2×1319261002 = 34808991722420000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 659531 + ... + 659730.

Almost surely, 2131926100 is an apocalyptic number.

131926100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131926100 is an abundant number, since it is smaller than the sum of its proper divisors (154353754).

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

131926100 is a wasteful number, since it uses less digits than its factorization.

131926100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319275 (or 1319268 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 131926100 is about 11485.9087581262. The cubic root of 131926100 is about 509.0693009343.

The spelling of 131926100 in words is "one hundred thirty-one million, nine hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1319261 2638522 5277044 6596305 13192610 26385220 32981525 65963050 131926100