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10121601137 is a prime number
BaseRepresentation
bin10010110110100101…
…10110000001110001
3222010101120121112012
421123102312001301
5131212112214022
64352205012305
7505552122134
oct113322660161
928111517465
1010121601137
11432441a81a
121b65854095
13c53c550cb
146c037821b
153e38ccde2
hex25b4b6071

10121601137 has 2 divisors, whose sum is σ = 10121601138. Its totient is φ = 10121601136.

The previous prime is 10121601109. The next prime is 10121601143. The reversal of 10121601137 is 73110612101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5849802256 + 4271798881 = 76484^2 + 65359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121601137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121601337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060800568 + 5060800569.

It is an arithmetic number, because the mean of its divisors is an integer number (5060800569).

Almost surely, 210121601137 is an apocalyptic number.

It is an amenable number.

10121601137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121601137 is an equidigital number, since it uses as much as digits as its factorization.

10121601137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 10121601137 in words is "ten billion, one hundred twenty-one million, six hundred one thousand, one hundred thirty-seven".