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10102753038 = 237240541739
BaseRepresentation
bin10010110100010101…
…11100011100001110
3222002002010000210110
421122022330130032
5131142301044123
64350253020450
7505232661330
oct113212743416
928062100713
1010102753038
114314816984
121b5b484726
13c500860a1
146bba6d450
153e1e08493
hex25a2bc70e

10102753038 has 16 divisors (see below), whose sum is σ = 23092007040. Its totient is φ = 2886500856.

The previous prime is 10102752973. The next prime is 10102753039. The reversal of 10102753038 is 83035720101.

10102753038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10102752996 and 10102753014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102753039) 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, 120270828 + ... + 120270911.

It is an arithmetic number, because the mean of its divisors is an integer number (1443250440).

Almost surely, 210102753038 is an apocalyptic number.

10102753038 is an abundant number, since it is smaller than the sum of its proper divisors (12989254002).

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

10102753038 is a wasteful number, since it uses less digits than its factorization.

10102753038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240541751.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10102753038 in words is "ten billion, one hundred two million, seven hundred fifty-three thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 240541739 481083478 721625217 1443250434 1683792173 3367584346 5051376519 10102753038