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10112132113 is a prime number
BaseRepresentation
bin10010110101011101…
…01110010000010001
3222002201202112110121
421122232232100101
5131202201211423
64351230030241
7505405463506
oct113256562021
928081675417
1010112132113
11431a042586
121b62648381
13c51cbb135
146bcdd14ad
153e2b5c45d
hex25abae411

10112132113 has 2 divisors, whose sum is σ = 10112132114. Its totient is φ = 10112132112.

The previous prime is 10112132099. The next prime is 10112132159. The reversal of 10112132113 is 31123121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6362774289 + 3749357824 = 79767^2 + 61232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10112132113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112139113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056066056 + 5056066057.

It is an arithmetic number, because the mean of its divisors is an integer number (5056066057).

Almost surely, 210112132113 is an apocalyptic number.

It is an amenable number.

10112132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112132113 is an equidigital number, since it uses as much as digits as its factorization.

10112132113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10112132113 its reverse (31123121101), we get a palindrome (41235253214).

The spelling of 10112132113 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred thirteen".