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120983621929 = 43280892
BaseRepresentation
bin111000010101100101…
…1111001000100101001
3102120021120000210010021
41300223023321010221
53440233301400204
6131325030520441
711512041550552
oct1605313710451
9376246023107
10120983621929
1147344111905
121b545206121
13b540c0b891
145bd9c2d329
1532314ee154
hex1c2b2f9129

120983621929 has 9 divisors (see below), whose sum is σ = 123877940823. Its totient is φ = 118155440592.

The previous prime is 120983621921. The next prime is 120983621939. The reversal of 120983621929 is 929126389021.

The square root of 120983621929 is 347827.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1461303529 + 119522318400 = 38227^2 + 345720^2 .

It is not a de Polignac number, because 120983621929 - 23 = 120983621921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120983621921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14952517 + ... + 14960605.

It is an arithmetic number, because the mean of its divisors is an integer number (13764215647).

Almost surely, 2120983621929 is an apocalyptic number.

120983621929 is the 347827-th square number.

120983621929 is the 173914-th centered octagonal number.

It is an amenable number.

120983621929 is a deficient number, since it is larger than the sum of its proper divisors (2894318894).

120983621929 is an frugal number, since it uses more digits than its factorization.

120983621929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 120983621929 in words is "one hundred twenty billion, nine hundred eighty-three million, six hundred twenty-one thousand, nine hundred twenty-nine".

Divisors: 1 43 1849 8089 347827 14956561 65431921 2813572603 120983621929