Search a number
-
+
130612410020 = 22544314741807
BaseRepresentation
bin111100110100100011…
…0110011011010100100
3110111010121021220020102
41321221012303122210
54114443234110040
6140000313123232
712302461111211
oct1715106633244
9414117256212
10130612410020
1150435333914
12213919b9518
13c416a26c21
146470962b08
1535e69d3515
hex1e691b36a4

130612410020 has 24 divisors (see below), whose sum is σ = 274905235584. Its totient is φ = 52127026016.

The previous prime is 130612410013. The next prime is 130612410023. The reversal of 130612410020 is 20014216031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130612409974 and 130612410001.

It is not an unprimeable number, because it can be changed into a prime (130612410023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7362044 + ... + 7379763.

It is an arithmetic number, because the mean of its divisors is an integer number (11454384816).

Almost surely, 2130612410020 is an apocalyptic number.

130612410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130612410020 is an abundant number, since it is smaller than the sum of its proper divisors (144292825564).

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

130612410020 is a wasteful number, since it uses less digits than its factorization.

130612410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742259 (or 14742257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130612410020 its reverse (20014216031), we get a palindrome (150626626051).

The spelling of 130612410020 in words is "one hundred thirty billion, six hundred twelve million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 443 886 1772 2215 4430 8860 14741807 29483614 58967228 73709035 147418070 294836140 6530620501 13061241002 26122482004 32653102505 65306205010 130612410020