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13156416101 is a prime number
BaseRepresentation
bin11000100000010111…
…01111101001100101
31020221220010012000102
430100023233221211
5203421020303401
610013255353445
7644012456153
oct142013575145
936856105012
1013156416101
1156414aa164
122672082885
1313189090ca
148cb4443d3
1552004c56b
hex3102efa65

13156416101 has 2 divisors, whose sum is σ = 13156416102. Its totient is φ = 13156416100.

The previous prime is 13156416041. The next prime is 13156416173. The reversal of 13156416101 is 10161465131.

13156416101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12889060900 + 267355201 = 113530^2 + 16351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13156416101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13156416401) 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, 6578208050 + 6578208051.

It is an arithmetic number, because the mean of its divisors is an integer number (6578208051).

Almost surely, 213156416101 is an apocalyptic number.

It is an amenable number.

13156416101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13156416101 is an equidigital number, since it uses as much as digits as its factorization.

13156416101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 13156416101 in words is "thirteen billion, one hundred fifty-six million, four hundred sixteen thousand, one hundred one".