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131154221 = 111512812
BaseRepresentation
bin1111101000101…
…00000100101101
3100010210022202202
413310110010231
5232033413341
621003031245
73151535552
oct764240455
9303708682
10131154221
1168040120
1237b0b525
1321230c63
14135c0a29
15b7aa79b
hex7d1412d

131154221 has 12 divisors (see below), whose sum is σ = 144539232. Its totient is φ = 118020000.

The previous prime is 131154217. The next prime is 131154239. The reversal of 131154221 is 122451131.

It is not a de Polignac number, because 131154221 - 22 = 131154217 is a prime.

It is a super-2 number, since 2×1311542212 = 34402859372233682, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131154193 and 131154202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131154251) 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 11 ways as a sum of consecutive naturals, for example, 466601 + ... + 466881.

It is an arithmetic number, because the mean of its divisors is an integer number (12044936).

Almost surely, 2131154221 is an apocalyptic number.

131154221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131154221 is a deficient number, since it is larger than the sum of its proper divisors (13385011).

131154221 is an equidigital number, since it uses as much as digits as its factorization.

131154221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 443 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 131154221 is about 11452.2583362409. The cubic root of 131154221 is about 508.0745300057.

The spelling of 131154221 in words is "one hundred thirty-one million, one hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 11 151 281 1661 3091 42431 78961 466741 868571 11923111 131154221