Search a number
-
+
10130332560 = 243542209719
BaseRepresentation
bin10010110111101000…
…01001101110010000
3222011000000012210020
421123310021232100
5131221331120220
64353120103440
7506016256155
oct113364115620
928130005706
1010130332560
114329343877
121b68764b80
13c559c142a
146c15ac22c
153e4555040
hex25bd09b90

10130332560 has 40 divisors (see below), whose sum is σ = 31404031680. Its totient is φ = 2701421952.

The previous prime is 10130332501. The next prime is 10130332607. The reversal of 10130332560 is 6523303101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10130332560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21104620 + ... + 21105099.

It is an arithmetic number, because the mean of its divisors is an integer number (785100792).

Almost surely, 210130332560 is an apocalyptic number.

10130332560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130332560 is an abundant number, since it is smaller than the sum of its proper divisors (21273699120).

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

10130332560 is a wasteful number, since it uses less digits than its factorization.

10130332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42209735 (or 42209729 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 10130332560 its reverse (6523303101), we get a palindrome (16653635661).

The spelling of 10130332560 in words is "ten billion, one hundred thirty million, three hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42209719 84419438 126629157 168838876 211048595 253258314 337677752 422097190 506516628 633145785 675355504 844194380 1013033256 1266291570 1688388760 2026066512 2532583140 3376777520 5065166280 10130332560