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146056131 = 32133733739
BaseRepresentation
bin10001011010010…
…10001111000011
3101011211102100100
420231022033003
5244342244011
622254253443
73422312424
oct1055121703
9334742310
10146056131
1175499151
1240ab7283
132434aa60
141557d64b
15cc50d56
hex8b4a3c3

146056131 has 24 divisors (see below), whose sum is σ = 233345840. Its totient is φ = 87448896.

The previous prime is 146056123. The next prime is 146056133. The reversal of 146056131 is 131650641.

146056131 is a `hidden beast` number, since 1 + 46 + 0 + 5 + 613 + 1 = 666.

It is not a de Polignac number, because 146056131 - 23 = 146056123 is a prime.

It is a super-2 number, since 2×1460561312 = 42664786805378322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146056095 and 146056104.

It is not an unprimeable number, because it can be changed into a prime (146056133) 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 23 ways as a sum of consecutive naturals, for example, 12541 + ... + 21198.

Almost surely, 2146056131 is an apocalyptic number.

146056131 is a deficient number, since it is larger than the sum of its proper divisors (87289709).

146056131 is a wasteful number, since it uses less digits than its factorization.

146056131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33795 (or 33792 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 146056131 is about 12085.3684676968. The cubic root of 146056131 is about 526.6312148776.

It can be divided in two parts, 14605 and 6131, that added together give a 4-th power (20736 = 124).

The spelling of 146056131 in words is "one hundred forty-six million, fifty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 33739 101217 303651 438607 1248343 1315821 3745029 3947463 11235087 16228459 48685377 146056131