Search a number
-
+
10153705220 = 225507685261
BaseRepresentation
bin10010111010011010…
…10011111100000100
3222012121222200001022
421131031103330010
5131243322031340
64355313050312
7506422033061
oct113515237404
928177880038
1010153705220
11434055801a
121b74556998
13c5a7b59c9
146c4733c68
153e66203b5
hex25d353f04

10153705220 has 12 divisors (see below), whose sum is σ = 21322781004. Its totient is φ = 4061482080.

The previous prime is 10153705217. The next prime is 10153705223. The reversal of 10153705220 is 2250735101.

10153705220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10153705217) and next prime (10153705223).

It can be written as a sum of positive squares in 2 ways, for example, as 1313192644 + 8840512576 = 36238^2 + 94024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10153705220.

It is not an unprimeable number, because it can be changed into a prime (10153705223) 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 3 ways as a sum of consecutive naturals, for example, 253842611 + ... + 253842650.

It is an arithmetic number, because the mean of its divisors is an integer number (1776898417).

Almost surely, 210153705220 is an apocalyptic number.

10153705220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153705220 is an abundant number, since it is smaller than the sum of its proper divisors (11169075784).

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

10153705220 is a wasteful number, since it uses less digits than its factorization.

10153705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507685270 (or 507685268 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 10153705220 in words is "ten billion, one hundred fifty-three million, seven hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 507685261 1015370522 2030741044 2538426305 5076852610 10153705220