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10130112342113 is a prime number
BaseRepresentation
bin1001001101101001100110…
…1111110110100001100001
31022212102120221120001212012
42103122121233312201201
52311432432224421423
633313413120042305
72063606425116551
oct223323157664141
938772527501765
1010130112342113
11325617a364475
12117734a163395
1358635b3a547a
1427042b4bd161
15128792a98078
hex93699bf6861

10130112342113 has 2 divisors, whose sum is σ = 10130112342114. Its totient is φ = 10130112342112.

The previous prime is 10130112342107. The next prime is 10130112342131. The reversal of 10130112342113 is 31124321103101.

Together with next prime (10130112342131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5391553968784 + 4738558373329 = 2321972^2 + 2176823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10130112342113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10130112342313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065056171056 + 5065056171057.

It is an arithmetic number, because the mean of its divisors is an integer number (5065056171057).

Almost surely, 210130112342113 is an apocalyptic number.

It is an amenable number.

10130112342113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130112342113 is an equidigital number, since it uses as much as digits as its factorization.

10130112342113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10130112342113 its reverse (31124321103101), we get a palindrome (41254433445214).

The spelling of 10130112342113 in words is "ten trillion, one hundred thirty billion, one hundred twelve million, three hundred forty-two thousand, one hundred thirteen".