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10056145110 = 2351130473167
BaseRepresentation
bin10010101110110010…
…01001100011010110
3221221211102002201220
421113121021203112
5131043333120420
64341510031210
7504125552214
oct112731114326
927854362656
1010056145110
1142a0482730
121b47948506
13c4351792b
146b57b9cb4
153dcc9d840
hex2576498d6

10056145110 has 32 divisors (see below), whose sum is σ = 26328817152. Its totient is φ = 2437853280.

The previous prime is 10056145081. The next prime is 10056145129. The reversal of 10056145110 is 1154165001.

10056145110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100561451102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 15236254 + ... + 15236913.

It is an arithmetic number, because the mean of its divisors is an integer number (822775536).

Almost surely, 210056145110 is an apocalyptic number.

10056145110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056145110 is an abundant number, since it is smaller than the sum of its proper divisors (16272672042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10056145110 is a wasteful number, since it uses less digits than its factorization.

10056145110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30473188.

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 10056145110 in words is "ten billion, fifty-six million, one hundred forty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 30473167 60946334 91419501 152365835 182839002 304731670 335204837 457097505 670409674 914195010 1005614511 1676024185 2011229022 3352048370 5028072555 10056145110