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6121137434120 = 235701321820681
BaseRepresentation
bin101100100010011000000…
…1110001110111000001000
3210200011201120222210200022
41121010300032032320020
51300242042140342440
621004002310400012
71201144330500062
oct131046016167010
923604646883608
106121137434120
111a4aa6155a675
1282a398660008
133552b40a37b7
1417239c21a732
15a9358c1acb5
hex5913038ee08

6121137434120 has 32 divisors (see below), whose sum is σ = 13774523719320. Its totient is φ = 2448105730560.

The previous prime is 6121137434119. The next prime is 6121137434123. The reversal of 6121137434120 is 214347311216.

It can be written as a sum of positive squares in 4 ways, for example, as 6105040422244 + 16097011876 = 2470838^2 + 126874^2 .

It is not an unprimeable number, because it can be changed into a prime (6121137434123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10629821 + ... + 11190860.

Almost surely, 26121137434120 is an apocalyptic number.

It is an amenable number.

6121137434120 is an abundant number, since it is smaller than the sum of its proper divisors (7653386285200).

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

6121137434120 is a wasteful number, since it uses less digits than its factorization.

6121137434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21827705 (or 21827701 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 6121137434120 in words is "six trillion, one hundred twenty-one billion, one hundred thirty-seven million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 7013 14026 28052 35065 56104 70130 140260 280520 21820681 43641362 87282724 109103405 174565448 218206810 436413620 872827240 153028435853 306056871706 612113743412 765142179265 1224227486824 1530284358530 3060568717060 6121137434120