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9993000131 is a prime number
BaseRepresentation
bin10010100111010000…
…10001010011000011
3221210102121000002222
421103220101103003
5130431202001011
64331332401255
7502431046112
oct112350212303
927712530088
109993000131
1142688739a4
121b2a77622b
13c3340933a
146ab25dc79
153d7478ddb
hex253a114c3

9993000131 has 2 divisors, whose sum is σ = 9993000132. Its totient is φ = 9993000130.

The previous prime is 9993000109. The next prime is 9993000161. The reversal of 9993000131 is 1310003999.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 9993000131 - 226 = 9925891267 is a prime.

It is a super-2 number, since 2×99930001312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 9993000091 and 9993000100.

It is not a weakly prime, because it can be changed into another prime (9993000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996500065 + 4996500066.

It is an arithmetic number, because the mean of its divisors is an integer number (4996500066).

Almost surely, 29993000131 is an apocalyptic number.

9993000131 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993000131 is an equidigital number, since it uses as much as digits as its factorization.

9993000131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 35.

The square root of 9993000131 is about 99964.9945280847. The cubic root of 9993000131 is about 2153.9318806737.

The spelling of 9993000131 in words is "nine billion, nine hundred ninety-three million, one hundred thirty-one", and thus it is an aban number.