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130222001102112 = 253450239969561
BaseRepresentation
bin11101100110111110101100…
…000111100001110100100000
3122002002002202011020202120000
4131212332230013201310200
5114032024124240231422
61140543054512020000
736300141404014353
oct3546765407416440
9562062664222500
10130222001102112
1138546927818047
1212731a90831600
135787b60a20b7a
142422ac822a29a
15100c58e2b7cac
hex766fac1e1d20

130222001102112 has 60 divisors (see below), whose sum is σ = 382979287971126. Its totient is φ = 43407333699840.

The previous prime is 130222001102071. The next prime is 130222001102231. The reversal of 130222001102112 is 211201100222031.

130222001102112 is a `hidden beast` number, since 1 + 302 + 220 + 0 + 110 + 21 + 12 = 666.

130222001102112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75912117115536 + 54309883986576 = 8712756^2 + 7369524^2 .

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

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, 25119982189 + ... + 25119987372.

Almost surely, 2130222001102112 is an apocalyptic number.

130222001102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130222001102112 is an abundant number, since it is smaller than the sum of its proper divisors (252757286869014).

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

130222001102112 is an equidigital number, since it uses as much as digits as its factorization.

130222001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50239969583 (or 50239969566 counting only the distinct ones).

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

Adding to 130222001102112 its reverse (211201100222031), we get a palindrome (341423101324143).

The spelling of 130222001102112 in words is "one hundred thirty trillion, two hundred twenty-two billion, one million, one hundred two thousand, one hundred twelve".

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 50239969561 100479939122 150719908683 200959878244 301439817366 401919756488 452159726049 602879634732 803839512976 904319452098 1205759269464 1356479178147 1607679025952 1808638904196 2411518538928 2712958356294 3617277808392 4069437534441 4823037077856 5425916712588 7234555616784 8138875068882 10851833425176 14469111233568 16277750137764 21703666850352 32555500275528 43407333700704 65111000551056 130222001102112