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10199980961 is a prime number
BaseRepresentation
bin10010111111111011…
…10101101110100001
3222022212001201102122
421133331311232201
5131342143342321
64404044554025
7510523256552
oct113775655641
928285051378
1010199980961
114364694735
121b87b52915
13c67268bc1
146ca93c329
153ea7118ab
hex25ff75ba1

10199980961 has 2 divisors, whose sum is σ = 10199980962. Its totient is φ = 10199980960.

The previous prime is 10199980951. The next prime is 10199980979. The reversal of 10199980961 is 16908999101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7231801600 + 2968179361 = 85040^2 + 54481^2 .

It is an emirp because it is prime and its reverse (16908999101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19608666101 and 10166680691.

It is a cyclic number.

It is not a de Polignac number, because 10199980961 - 26 = 10199980897 is a prime.

It is a super-2 number, since 2×101999809612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10199980951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5099990480 + 5099990481.

It is an arithmetic number, because the mean of its divisors is an integer number (5099990481).

Almost surely, 210199980961 is an apocalyptic number.

It is an amenable number.

10199980961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10199980961 is an equidigital number, since it uses as much as digits as its factorization.

10199980961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 314928, while the sum is 53.

The spelling of 10199980961 in words is "ten billion, one hundred ninety-nine million, nine hundred eighty thousand, nine hundred sixty-one".