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10155436129 is a prime number
BaseRepresentation
bin10010111010100111…
…11010100001100001
3222012202020121102001
421131103322201201
5131244242424004
64355414124001
7506442532336
oct113523724141
928182217361
1010155436129
11434152a523
121b75050601
13c5ac70807
146c4a6498d
153e68631a4
hex25d4fa861

10155436129 has 2 divisors, whose sum is σ = 10155436130. Its totient is φ = 10155436128.

The previous prime is 10155436121. The next prime is 10155436133. The reversal of 10155436129 is 92163455101.

10155436129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9379535104 + 775901025 = 96848^2 + 27855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10155436129 - 23 = 10155436121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10155436121) 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, 5077718064 + 5077718065.

It is an arithmetic number, because the mean of its divisors is an integer number (5077718065).

Almost surely, 210155436129 is an apocalyptic number.

It is an amenable number.

10155436129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10155436129 is an equidigital number, since it uses as much as digits as its factorization.

10155436129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10155436129 in words is "ten billion, one hundred fifty-five million, four hundred thirty-six thousand, one hundred twenty-nine".