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106612613449 is a prime number
BaseRepresentation
bin110001101001010011…
…0110110000101001001
3101012012000102220120221
41203102212312011021
53221320312112244
6120551022150041
710462650155626
oct1432246660511
9335160386527
10106612613449
114123a04a4a1
12187b4422321
13a09079c374
14523537b34d
152b8ea32784
hex18d29b6149

106612613449 has 2 divisors, whose sum is σ = 106612613450. Its totient is φ = 106612613448.

The previous prime is 106612613389. The next prime is 106612613507. The reversal of 106612613449 is 944316216601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60663690000 + 45948923449 = 246300^2 + 214357^2 .

It is a cyclic number.

It is not a de Polignac number, because 106612613449 - 211 = 106612611401 is a prime.

It is a super-2 number, since 2×1066126134492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106612113449) 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, 53306306724 + 53306306725.

It is an arithmetic number, because the mean of its divisors is an integer number (53306306725).

Almost surely, 2106612613449 is an apocalyptic number.

It is an amenable number.

106612613449 is a deficient number, since it is larger than the sum of its proper divisors (1).

106612613449 is an equidigital number, since it uses as much as digits as its factorization.

106612613449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 106612613449 in words is "one hundred six billion, six hundred twelve million, six hundred thirteen thousand, four hundred forty-nine".