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10102413020 = 225772160093
BaseRepresentation
bin10010110100010011…
…01001011011011100
3222002001110202101012
421122021221123130
5131142204204040
64350241434352
7505230044120
oct113211513334
928061422335
1010102413020
114314604477
121b5b33b9b8
13c4cc973ab
146bb9c1580
153e1d8c865
hex25a2696dc

10102413020 has 24 divisors (see below), whose sum is σ = 24245791584. Its totient is φ = 3463684416.

The previous prime is 10102413019. The next prime is 10102413043. The reversal of 10102413020 is 2031420101.

10102413020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10102412986 and 10102413004.

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 7 ways as a sum of consecutive naturals, for example, 36079907 + ... + 36080186.

It is an arithmetic number, because the mean of its divisors is an integer number (1010241316).

Almost surely, 210102413020 is an apocalyptic number.

10102413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102413020 is an abundant number, since it is smaller than the sum of its proper divisors (14143378564).

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

10102413020 is a wasteful number, since it uses less digits than its factorization.

10102413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72160109 (or 72160107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10102413020 its reverse (2031420101), we get a palindrome (12133833121).

The spelling of 10102413020 in words is "ten billion, one hundred two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72160093 144320186 288640372 360800465 505120651 721600930 1010241302 1443201860 2020482604 2525603255 5051206510 10102413020