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10112213129 is a prime number
BaseRepresentation
bin10010110101011110…
…00010000010001001
3222002201220122121012
421122233002002021
5131202211310004
64351231453305
7505406251634
oct113257020211
928081818535
1010112213129
11431a098437
121b62687235
13c52018c85
146bd012c1b
153e2b7646e
hex25abc2089

10112213129 has 2 divisors, whose sum is σ = 10112213130. Its totient is φ = 10112213128.

The previous prime is 10112213101. The next prime is 10112213131. The reversal of 10112213129 is 92131221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5205911104 + 4906302025 = 72152^2 + 70045^2 .

It is an emirp because it is prime and its reverse (92131221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112213129 - 212 = 10112209033 is a prime.

Together with 10112213131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10112213729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056106564 + 5056106565.

It is an arithmetic number, because the mean of its divisors is an integer number (5056106565).

Almost surely, 210112213129 is an apocalyptic number.

It is an amenable number.

10112213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112213129 is an equidigital number, since it uses as much as digits as its factorization.

10112213129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10112213129 in words is "ten billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty-nine".