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130123022112 = 2532451816049
BaseRepresentation
bin111100100101111101…
…1111011111100100000
3110102212111102102020100
41321023323323330200
54112442443201422
6135435551542400
712254366303256
oct1711373737440
9412774372210
10130123022112
11502040654a6
1221275b2aa00
13c369519195
1464259705d6
1535b8a647ac
hex1e4befbf20

130123022112 has 36 divisors (see below), whose sum is σ = 370037344950. Its totient is φ = 43374340608.

The previous prime is 130123022111. The next prime is 130123022119. The reversal of 130123022112 is 211220321031.

130123022112 is a `hidden beast` number, since 1 + 301 + 230 + 22 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130092947856 + 30074256 = 360684^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (130123022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 225907737 + ... + 225908312.

Almost surely, 2130123022112 is an apocalyptic number.

130123022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130123022112 is an abundant number, since it is smaller than the sum of its proper divisors (239914322838).

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

130123022112 is a wasteful number, since it uses less digits than its factorization.

130123022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451816065 (or 451816054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130123022112 its reverse (211220321031), we get a palindrome (341343343143).

The spelling of 130123022112 in words is "one hundred thirty billion, one hundred twenty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 451816049 903632098 1355448147 1807264196 2710896294 3614528392 4066344441 5421792588 7229056784 8132688882 10843585176 14458113568 16265377764 21687170352 32530755528 43374340704 65061511056 130123022112