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10165056161 = 131493523729
BaseRepresentation
bin10010111011110001…
…00111001010100001
3222020102100100121112
421131320213022201
5131304223244121
64400400233105
7506620360151
oct113570471241
928212310545
1010165056161
114346a00167
121b7830b795
13c5cc5b440
146c604a761
153e761375b
hex25de272a1

10165056161 has 8 divisors (see below), whose sum is σ = 10954336680. Its totient is φ = 9376826112.

The previous prime is 10165056157. The next prime is 10165056179. The reversal of 10165056161 is 16165056101.

10165056161 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4214476561 + 5950579600 = 64919^2 + 77140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10165056161 - 22 = 10165056157 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10165056101) 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 7 ways as a sum of consecutive naturals, for example, 242456 + ... + 281273.

It is an arithmetic number, because the mean of its divisors is an integer number (1369292085).

Almost surely, 210165056161 is an apocalyptic number.

It is an amenable number.

10165056161 is a deficient number, since it is larger than the sum of its proper divisors (789280519).

10165056161 is a wasteful number, since it uses less digits than its factorization.

10165056161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525235.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 10165056161 in words is "ten billion, one hundred sixty-five million, fifty-six thousand, one hundred sixty-one".

Divisors: 1 13 1493 19409 523729 6808477 781927397 10165056161