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101254431 = 3177327197
BaseRepresentation
bin1100000100100…
…00010100011111
321001112020222010
412002100110133
5201410120211
614014122303
72336435265
oct602202437
9231466863
10101254431
1152178a53
1229ab0393
1317c92785
14d63a435
158d514a6
hex609051f

101254431 has 16 divisors (see below), whose sum is σ = 144910944. Its totient is φ = 62659584.

The previous prime is 101254429. The next prime is 101254451. The reversal of 101254431 is 134452101.

It is not a de Polignac number, because 101254431 - 21 = 101254429 is a prime.

It is a super-2 number, since 2×1012544312 = 20504919594267522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101254398 and 101254407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101254451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9876 + ... + 17321.

It is an arithmetic number, because the mean of its divisors is an integer number (9056934).

Almost surely, 2101254431 is an apocalyptic number.

101254431 is a deficient number, since it is larger than the sum of its proper divisors (43656513).

101254431 is a wasteful number, since it uses less digits than its factorization.

101254431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27290.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 101254431 is about 10062.5260745004. The cubic root of 101254431 is about 466.0916748790.

The spelling of 101254431 in words is "one hundred one million, two hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 17 51 73 219 1241 3723 27197 81591 462349 1387047 1985381 5956143 33751477 101254431