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131572023 = 3115375227
BaseRepresentation
bin1111101011110…
…10000100110111
3100011120112212220
413311322010313
5232140301043
621020013423
73155225622
oct765720467
9304515786
10131572023
11682a6010
1238091273
132134918b
141368cdb9
15b83e483
hex7d7a137

131572023 has 16 divisors (see below), whose sum is σ = 194990976. Its totient is φ = 78235040.

The previous prime is 131572019. The next prime is 131572031. The reversal of 131572023 is 320275131.

It is a cyclic number.

It is not a de Polignac number, because 131572023 - 22 = 131572019 is a prime.

It is a super-2 number, since 2×1315720232 = 34622394472625058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131571984 and 131572002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131573023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35865 + ... + 39362.

It is an arithmetic number, because the mean of its divisors is an integer number (12186936).

Almost surely, 2131572023 is an apocalyptic number.

131572023 is a deficient number, since it is larger than the sum of its proper divisors (63418953).

131572023 is a wasteful number, since it uses less digits than its factorization.

131572023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75294.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 131572023 is about 11470.4848633351. The cubic root of 131572023 is about 508.6134618208.

The spelling of 131572023 in words is "one hundred thirty-one million, five hundred seventy-two thousand, twenty-three".

Divisors: 1 3 11 33 53 159 583 1749 75227 225681 827497 2482491 3987031 11961093 43857341 131572023