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106612613389 is a prime number
BaseRepresentation
bin110001101001010011…
…0110110000100001101
3101012012000102220111201
41203102212312010031
53221320312112024
6120551022145501
710462650155512
oct1432246660415
9335160386451
10106612613389
114123a04a447
12187b4422291
13a09079c329
14523537b309
152b8ea32744
hex18d29b610d

106612613389 has 2 divisors, whose sum is σ = 106612613390. Its totient is φ = 106612613388.

The previous prime is 106612613381. The next prime is 106612613449. The reversal of 106612613389 is 983316216601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98946735364 + 7665878025 = 314558^2 + 87555^2 .

It is a cyclic number.

It is not a de Polignac number, because 106612613389 - 23 = 106612613381 is a prime.

It is a super-2 number, since 2×1066126133892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106612613381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53306306694 + 53306306695.

It is an arithmetic number, because the mean of its divisors is an integer number (53306306695).

Almost surely, 2106612613389 is an apocalyptic number.

It is an amenable number.

106612613389 is a deficient number, since it is larger than the sum of its proper divisors (1).

106612613389 is an equidigital number, since it uses as much as digits as its factorization.

106612613389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 106612613389 in words is "one hundred six billion, six hundred twelve million, six hundred thirteen thousand, three hundred eighty-nine".