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10102372630 = 2572151136537
BaseRepresentation
bin10010110100010010…
…11111100100010110
3222002001101200222021
421122021133210112
5131142201411010
64350240523354
7505226515300
oct113211374426
928061350867
1010102372630
114314587099
121b5b32055a
13c4cc81bac
146bb9b0970
153e1d808da
hex25a25f916

10102372630 has 48 divisors (see below), whose sum is σ = 21293374176. Its totient is φ = 3440707200.

The previous prime is 10102372613. The next prime is 10102372649. The reversal of 10102372630 is 3627320101.

10102372630 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 = 10102372595 and 10102372604.

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 23 ways as a sum of consecutive naturals, for example, 5722 + ... + 142258.

It is an arithmetic number, because the mean of its divisors is an integer number (443611962).

Almost surely, 210102372630 is an apocalyptic number.

10102372630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102372630 is an abundant number, since it is smaller than the sum of its proper divisors (11191001546).

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

10102372630 is a wasteful number, since it uses less digits than its factorization.

10102372630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136709 (or 136702 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 10102372630 its reverse (3627320101), we get a palindrome (13729692731).

The spelling of 10102372630 in words is "ten billion, one hundred two million, three hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 151 245 302 490 755 1057 1510 2114 5285 7399 10570 14798 36995 73990 136537 273074 682685 955759 1365370 1911518 4778795 6690313 9557590 13380626 20617087 33451565 41234174 66903130 103085435 144319609 206170870 288639218 721598045 1010237263 1443196090 2020474526 5051186315 10102372630