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120132110013 = 3110336304657
BaseRepresentation
bin110111111100001101…
…1101000011010111101
3102111002012202111100220
41233320123220122331
53432012310010023
6131104332011553
711451662041536
oct1577033503275
9374065674326
10120132110013
1146a47498353
121b348000bb9
13b436691386
145b58ad568d
1531d189e3e3
hex1bf86e86bd

120132110013 has 8 divisors (see below), whose sum is σ = 160321369728. Its totient is φ = 80015461824.

The previous prime is 120132110011. The next prime is 120132110029. The reversal of 120132110013 is 310011231021.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120132110013 - 21 = 120132110011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120132109974 and 120132110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132110011) 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 7 ways as a sum of consecutive naturals, for example, 18149020 + ... + 18155637.

It is an arithmetic number, because the mean of its divisors is an integer number (20040171216).

Almost surely, 2120132110013 is an apocalyptic number.

It is an amenable number.

120132110013 is a deficient number, since it is larger than the sum of its proper divisors (40189259715).

120132110013 is a wasteful number, since it uses less digits than its factorization.

120132110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36305763.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120132110013 its reverse (310011231021), we get a palindrome (430143341034).

The spelling of 120132110013 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred ten thousand, thirteen".

Divisors: 1 3 1103 3309 36304657 108913971 40044036671 120132110013