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101178952097 is a prime number
BaseRepresentation
bin101111000111010111…
…1000100100110100001
3100200011100001022111012
41132032233010212201
53124203302431342
6114251520030305
710211210621426
oct1361657044641
9320140038435
10101178952097
1139a00976283
1217738762395
139705b44832
144c7b871d4d
1529729b8b82
hex178ebc49a1

101178952097 has 2 divisors, whose sum is σ = 101178952098. Its totient is φ = 101178952096.

The previous prime is 101178952093. The next prime is 101178952111. The reversal of 101178952097 is 790259871101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93886475281 + 7292476816 = 306409^2 + 85396^2 .

It is an emirp because it is prime and its reverse (790259871101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101178952097 - 22 = 101178952093 is a prime.

It is not a weakly prime, because it can be changed into another prime (101178952093) 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, 50589476048 + 50589476049.

It is an arithmetic number, because the mean of its divisors is an integer number (50589476049).

Almost surely, 2101178952097 is an apocalyptic number.

It is an amenable number.

101178952097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101178952097 is an equidigital number, since it uses as much as digits as its factorization.

101178952097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 50.

The spelling of 101178952097 in words is "one hundred one billion, one hundred seventy-eight million, nine hundred fifty-two thousand, ninety-seven".