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10046164131 = 334710937243
BaseRepresentation
bin10010101101100110…
…00100110010100011
3221221010122000102000
421112303010302203
5131033304223011
64340512055043
7503644662153
oct112663046243
927833560360
1010046164131
114295885893
121b44534483
13c41431923
146b433c763
153dbe7b356
hex256cc4ca3

10046164131 has 32 divisors (see below), whose sum is σ = 15215877120. Its totient is φ = 6548042592.

The previous prime is 10046164111. The next prime is 10046164147. The reversal of 10046164131 is 13146164001.

10046164131 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 616 + 41 + 3 + 1 = 666.

It is not a de Polignac number, because 10046164131 - 26 = 10046164067 is a prime.

It is a super-2 number, since 2×100461641312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10046164095 and 10046164104.

It is not an unprimeable number, because it can be changed into a prime (10046164111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383396 + ... + 1390638.

It is an arithmetic number, because the mean of its divisors is an integer number (475496160).

Almost surely, 210046164131 is an apocalyptic number.

10046164131 is a deficient number, since it is larger than the sum of its proper divisors (5169712989).

10046164131 is a wasteful number, since it uses less digits than its factorization.

10046164131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10046164131 in words is "ten billion, forty-six million, one hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 47 141 423 1093 1269 3279 7243 9837 21729 29511 51371 65187 154113 195561 340421 462339 1021263 1387017 3063789 7916599 9191367 23749797 71249391 213748173 372080153 1116240459 3348721377 10046164131