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97978820101 is a prime number
BaseRepresentation
bin101101100111111111…
…1100010011000000101
3100100220022102202122221
41123033333202120011
53101130034220401
6113002202052341
710036002141511
oct1331777423005
9310808382587
1097978820101
1138609542798
1216ba4aaa0b1
139315b5abc6
144a56851141
152836a917a1
hex16cffe2605

97978820101 has 2 divisors, whose sum is σ = 97978820102. Its totient is φ = 97978820100.

The previous prime is 97978820089. The next prime is 97978820117. The reversal of 97978820101 is 10102887979.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69830705025 + 28148115076 = 264255^2 + 167774^2 .

It is an emirp because it is prime and its reverse (10102887979) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97978820101 - 27 = 97978819973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97978824101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48989410050 + 48989410051.

It is an arithmetic number, because the mean of its divisors is an integer number (48989410051).

Almost surely, 297978820101 is an apocalyptic number.

It is an amenable number.

97978820101 is a deficient number, since it is larger than the sum of its proper divisors (1).

97978820101 is an equidigital number, since it uses as much as digits as its factorization.

97978820101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 52.

The spelling of 97978820101 in words is "ninety-seven billion, nine hundred seventy-eight million, eight hundred twenty thousand, one hundred one".