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101113040209 is a prime number
BaseRepresentation
bin101111000101011001…
…1101000110101010001
3100122222202000122101011
41132022303220311101
53124034414241314
6114241203210521
710206450442456
oct1361263506521
9318882018334
10101113040209
1139977747745
121771a676a41
1396c52a7a0c
144c72bd582d
15296bce94c4
hex178ace8d51

101113040209 has 2 divisors, whose sum is σ = 101113040210. Its totient is φ = 101113040208.

The previous prime is 101113040141. The next prime is 101113040263. The reversal of 101113040209 is 902040311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100300790209 + 812250000 = 316703^2 + 28500^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113040209 - 29 = 101113039697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101113040209.

It is not a weakly prime, because it can be changed into another prime (101113040299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556520104 + 50556520105.

It is an arithmetic number, because the mean of its divisors is an integer number (50556520105).

Almost surely, 2101113040209 is an apocalyptic number.

It is an amenable number.

101113040209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113040209 is an equidigital number, since it uses as much as digits as its factorization.

101113040209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 101113040209 in words is "one hundred one billion, one hundred thirteen million, forty thousand, two hundred nine".