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101104140097 is a prime number
BaseRepresentation
bin101111000101001000…
…1101011111101000001
3100122222010021110201101
41132022101223331001
53124030124440342
6114240244334401
710206312003562
oct1361221537501
9318863243641
10101104140097
1139972718984
12177176a4401
1396c34ac98c
144c7195a169
15296b13c3b7
hex178a46bf41

101104140097 has 2 divisors, whose sum is σ = 101104140098. Its totient is φ = 101104140096.

The previous prime is 101104140047. The next prime is 101104140121. The reversal of 101104140097 is 790041401101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101088387136 + 15752961 = 317944^2 + 3969^2 .

It is a cyclic number.

It is not a de Polignac number, because 101104140097 - 211 = 101104138049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101104140017) 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, 50552070048 + 50552070049.

It is an arithmetic number, because the mean of its divisors is an integer number (50552070049).

Almost surely, 2101104140097 is an apocalyptic number.

It is an amenable number.

101104140097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101104140097 is an equidigital number, since it uses as much as digits as its factorization.

101104140097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 101104140097 its reverse (790041401101), we get a palindrome (891145541198).

The spelling of 101104140097 in words is "one hundred one billion, one hundred four million, one hundred forty thousand, ninety-seven".