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10270736130 = 2351697201743
BaseRepresentation
bin10011001000010111…
…01111111100000010
3222111210012110021110
421210023233330002
5132013302024010
64415053304150
7512342550054
oct114413577402
928453173243
1010270736130
1143a0621086
121ba7795056
13c78b10375
146d60b98d4
15401a3b120
hex2642eff02

10270736130 has 32 divisors (see below), whose sum is σ = 24664414464. Its totient is φ = 2737235456.

The previous prime is 10270736101. The next prime is 10270736171. The reversal of 10270736130 is 3163707201.

10270736130 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 (30).

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, 49962 + ... + 151781.

It is an arithmetic number, because the mean of its divisors is an integer number (770762952).

Almost surely, 210270736130 is an apocalyptic number.

10270736130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10270736130 is an abundant number, since it is smaller than the sum of its proper divisors (14393678334).

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

10270736130 is a wasteful number, since it uses less digits than its factorization.

10270736130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203450.

The product of its (nonzero) digits is 5292, while the sum is 30.

It can be divided in two parts, 1027073 and 6130, that added together give a triangular number (1033203 = T1437).

The spelling of 10270736130 in words is "ten billion, two hundred seventy million, seven hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1697 3394 5091 8485 10182 16970 25455 50910 201743 403486 605229 1008715 1210458 2017430 3026145 6052290 342357871 684715742 1027073613 1711789355 2054147226 3423578710 5135368065 10270736130