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113257040009 is a prime number
BaseRepresentation
bin110100101111010100…
…1010100100010001001
3101211100002002202022112
41221132221110202021
53323422300240014
6124010215232105
711116420645631
oct1513651244211
9354302082275
10113257040009
1144039712513
1219b49678635
13a8ac21a309
1456a59b96c1
152e2d01173e
hex1a5ea54889

113257040009 has 2 divisors, whose sum is σ = 113257040010. Its totient is φ = 113257040008.

The previous prime is 113257039939. The next prime is 113257040077. The reversal of 113257040009 is 900040752311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106246662025 + 7010377984 = 325955^2 + 83728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113257040009 is a prime.

It is a super-2 number, since 2×1132570400092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113257040089) 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 as a sum of consecutive naturals, namely, 56628520004 + 56628520005.

It is an arithmetic number, because the mean of its divisors is an integer number (56628520005).

Almost surely, 2113257040009 is an apocalyptic number.

It is an amenable number.

113257040009 is a deficient number, since it is larger than the sum of its proper divisors (1).

113257040009 is an equidigital number, since it uses as much as digits as its factorization.

113257040009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 113257040009 in words is "one hundred thirteen billion, two hundred fifty-seven million, forty thousand, nine".