Search a number
-
+
130022112 = 25311123127
BaseRepresentation
bin1111011111111…
…11101011100000
3100001122210210210
413233333223200
5231241201422
620522454120
73136112133
oct757775340
9301583723
10130022112
11674375a0
1237664340
1320c2587c
14133a821a
15b63510c
hex7bffae0

130022112 has 48 divisors (see below), whose sum is σ = 372339072. Its totient is φ = 39400320.

The previous prime is 130022089. The next prime is 130022117. The reversal of 130022112 is 211220031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022117) 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, 60508 + ... + 62619.

It is an arithmetic number, because the mean of its divisors is an integer number (7757064).

Almost surely, 2130022112 is an apocalyptic number.

130022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130022112 is an abundant number, since it is smaller than the sum of its proper divisors (242316960).

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

130022112 is a wasteful number, since it uses less digits than its factorization.

130022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123151 (or 123143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130022112 is about 11402.7238851075. The cubic root of 130022112 is about 506.6084220520.

Adding to 130022112 its reverse (211220031), we get a palindrome (341242143).

The spelling of 130022112 in words is "one hundred thirty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 123127 246254 369381 492508 738762 985016 1354397 1477524 1970032 2708794 2955048 3940064 4063191 5417588 5910096 8126382 10835176 11820192 16252764 21670352 32505528 43340704 65011056 130022112