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120133132002 = 23213513389453
BaseRepresentation
bin110111111100001111…
…1100001111011100010
3102111002021200102021100
41233320133201323202
53432013040211002
6131104405535230
711452003526232
oct1577037417342
9374067612240
10120133132002
1146a48026174
121b348414516
13b43695b5c0
145b58cbdcc2
1531d1a0211c
hex1bf87e1ee2

120133132002 has 24 divisors (see below), whose sum is σ = 280310641884. Its totient is φ = 36964040544.

The previous prime is 120133131959. The next prime is 120133132073. The reversal of 120133132002 is 200231331021.

120133132002 is a `hidden beast` number, since 12 + 0 + 1 + 331 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115648285041 + 4484846961 = 340071^2 + 66969^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256694493 + ... + 256694960.

Almost surely, 2120133132002 is an apocalyptic number.

120133132002 is an abundant number, since it is smaller than the sum of its proper divisors (160177509882).

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

120133132002 is a wasteful number, since it uses less digits than its factorization.

120133132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513389474 (or 513389471 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120133132002 its reverse (200231331021), we get a palindrome (320364463023).

The spelling of 120133132002 in words is "one hundred twenty billion, one hundred thirty-three million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 513389453 1026778906 1540168359 3080336718 4620505077 6674062889 9241010154 13348125778 20022188667 40044377334 60066566001 120133132002