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124131496329 = 36130492
BaseRepresentation
bin111001110011011010…
…0000101000110001001
3102212101221022101000000
41303212310011012021
54013210130340304
6133005240433213
711653044211131
oct1634664050611
9385357271000
10124131496329
1148709aa24a5
1220083478809
13b923129659
146017d29ac1
153367a52939
hex1ce6d05189

124131496329 has 21 divisors (see below), whose sum is σ = 186126369943. Its totient is φ = 82747989072.

The previous prime is 124131496309. The next prime is 124131496381. The reversal of 124131496329 is 923694131421.

The square root of 124131496329 is 352323.

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

124131496329 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 1 + 4 + 9 + 632 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70715041929 + 53416454400 = 265923^2 + 231120^2 .

It is not a de Polignac number, because 124131496329 - 25 = 124131496297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124131496309) 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 20 ways as a sum of consecutive naturals, for example, 9506197 + ... + 9519245.

Almost surely, 2124131496329 is an apocalyptic number.

124131496329 is the 352323-rd square number.

124131496329 is the 176162-nd centered octagonal number.

It is an amenable number.

124131496329 is a deficient number, since it is larger than the sum of its proper divisors (61994873614).

124131496329 is an frugal number, since it uses more digits than its factorization.

124131496329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26116 (or 13052 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 124131496329 in words is "one hundred twenty-four billion, one hundred thirty-one million, four hundred ninety-six thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 13049 39147 117441 352323 1056969 3170907 9512721 170276401 510829203 1532487609 4597462827 13792388481 41377165443 124131496329