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106056405336 = 2337631288127
BaseRepresentation
bin110001011000101110…
…1000101000101011000
3101010202020211121111110
41202301131011011120
53214200414432321
6120415512500320
710443114366630
oct1426135050530
9333666747443
10106056405336
1140a84092072
121867a0aa6a0
13a00249723b
1451c15536c0
152b5acb5176
hex18b1745158

106056405336 has 32 divisors (see below), whose sum is σ = 303018301440. Its totient is φ = 30301830048.

The previous prime is 106056405331. The next prime is 106056405391. The reversal of 106056405336 is 633504650601.

It is a happy number.

It is a super-2 number, since 2×1060564053362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106056405294 and 106056405303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056405331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315643896 + ... + 315644231.

It is an arithmetic number, because the mean of its divisors is an integer number (9469321920).

Almost surely, 2106056405336 is an apocalyptic number.

It is an amenable number.

106056405336 is an abundant number, since it is smaller than the sum of its proper divisors (196961896104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106056405336 is a wasteful number, since it uses less digits than its factorization.

106056405336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631288143 (or 631288139 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 106056405336 in words is "one hundred six billion, fifty-six million, four hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 631288127 1262576254 1893864381 2525152508 3787728762 4419016889 5050305016 7575457524 8838033778 13257050667 15150915048 17676067556 26514101334 35352135112 53028202668 106056405336