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113031100001 is a prime number
BaseRepresentation
bin110100101000100101…
…1011011011001100001
3101210202022221210220002
41221101023123121201
53322441430200001
6123531544425345
711111005332461
oct1512113333141
9353668853802
10113031100001
1143a33122436
1219aa5a78255
13a87447ccc1
1456839a3ba1
152e1828146b
hex1a512db661

113031100001 has 2 divisors, whose sum is σ = 113031100002. Its totient is φ = 113031100000.

The previous prime is 113031099991. The next prime is 113031100003. The reversal of 113031100001 is 100001130311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72227100001 + 40804000000 = 268751^2 + 202000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113031100001 is a prime.

It is a Sophie Germain prime.

Together with 113031100003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113031100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56515550000 + 56515550001.

It is an arithmetic number, because the mean of its divisors is an integer number (56515550001).

Almost surely, 2113031100001 is an apocalyptic number.

It is an amenable number.

113031100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

113031100001 is an equidigital number, since it uses as much as digits as its factorization.

113031100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 113031100001 its reverse (100001130311), we get a palindrome (213032230312).

The spelling of 113031100001 in words is "one hundred thirteen billion, thirty-one million, one hundred thousand, one".