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106622246313 = 32114126268107
BaseRepresentation
bin110001101001100101…
…1100101110110101001
3101012012200120022101200
41203103023211312221
53221330243340223
6120552004434413
710463125066032
oct1432313456651
9335180508350
10106622246313
1141244529840
12187b76a8a09
13a092792a9b
145236767a89
152b907d6a43
hex18d32e5da9

106622246313 has 24 divisors (see below), whose sum is σ = 172108643616. Its totient is φ = 63043454400.

The previous prime is 106622246299. The next prime is 106622246323. The reversal of 106622246313 is 313642226601.

106622246313 is a `hidden beast` number, since 1 + 0 + 6 + 622 + 24 + 6 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 106622246313 - 28 = 106622246057 is a prime.

It is a super-2 number, since 2×1066222463132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106622246323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13129995 + ... + 13138112.

It is an arithmetic number, because the mean of its divisors is an integer number (7171193484).

Almost surely, 2106622246313 is an apocalyptic number.

It is an amenable number.

106622246313 is a deficient number, since it is larger than the sum of its proper divisors (65486397303).

106622246313 is a wasteful number, since it uses less digits than its factorization.

106622246313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26268165 (or 26268162 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 106622246313 in words is "one hundred six billion, six hundred twenty-two million, two hundred forty-six thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 26268107 78804321 236412963 288949177 866847531 1076992387 2600542593 3230977161 9692931483 11846916257 35540748771 106622246313