Search a number
-
+
130012128 = 253450159
BaseRepresentation
bin1111011111111…
…01001111100000
3100001122022010000
413233331033200
5231240342003
620522340000
73136041051
oct757751740
9301568100
10130012128
1167430044
123765a600
1320c2116c
14133a4728
15b6321a3
hex7bfd3e0

130012128 has 60 divisors (see below), whose sum is σ = 382369680. Its totient is φ = 43336512.

The previous prime is 130012111. The next prime is 130012139. The reversal of 130012128 is 821210031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 130012128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22488 + ... + 27671.

It is an arithmetic number, because the mean of its divisors is an integer number (6372828).

Almost surely, 2130012128 is an apocalyptic number.

130012128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130012128 is an abundant number, since it is smaller than the sum of its proper divisors (252357552).

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

130012128 is an equidigital number, since it uses as much as digits as its factorization.

130012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50181 (or 50164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 130012128 is about 11402.2860865705. The cubic root of 130012128 is about 506.5954547500.

Adding to 130012128 its reverse (821210031), we get a palindrome (951222159).

It can be divided in two parts, 13001 and 2128, that added together give a square (15129 = 1232).

The spelling of 130012128 in words is "one hundred thirty million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 50159 100318 150477 200636 300954 401272 451431 601908 802544 902862 1203816 1354293 1605088 1805724 2407632 2708586 3611448 4062879 4815264 5417172 7222896 8125758 10834344 14445792 16251516 21668688 32503032 43337376 65006064 130012128