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97979180381 is a prime number
BaseRepresentation
bin101101101000000000…
…0111010010101011101
3100100220100010001212122
41123100000322111131
53101130132233011
6113002213512325
710036005202055
oct1332000722535
9310810101778
1097979180381
1138609769445
1216ba50426a5
139315c55ba4
144a56906565
152836b133db
hex16d003a55d

97979180381 has 2 divisors, whose sum is σ = 97979180382. Its totient is φ = 97979180380.

The previous prime is 97979180353. The next prime is 97979180389. The reversal of 97979180381 is 18308197979.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85234802500 + 12744377881 = 291950^2 + 112891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97979180381 is a prime.

It is a super-2 number, since 2×979791803812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97979180389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48989590190 + 48989590191.

It is an arithmetic number, because the mean of its divisors is an integer number (48989590191).

Almost surely, 297979180381 is an apocalyptic number.

It is an amenable number.

97979180381 is a deficient number, since it is larger than the sum of its proper divisors (1).

97979180381 is an equidigital number, since it uses as much as digits as its factorization.

97979180381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6858432, while the sum is 62.

The spelling of 97979180381 in words is "ninety-seven billion, nine hundred seventy-nine million, one hundred eighty thousand, three hundred eighty-one".