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106055163251999 = 13223643306118587
BaseRepresentation
bin11000000111010011100100…
…010101010000110100011111
3111220111202220200020122000022
4120013103210111100310133
5102400101433243030444
61013321022553422355
731224142545436133
oct3007234425206437
9456452820218008
10106055163251999
1130879818892295
12ba8a24b70a9bb
134723c60b63050
141c29150d6b3c3
15c3db1154e9ee
hex6074e4550d1f

106055163251999 has 32 divisors (see below), whose sum is σ = 114947563874304. Its totient is φ = 97269483070080.

The previous prime is 106055163251993. The next prime is 106055163252019. The reversal of 106055163251999 is 999152361550601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106055163251999 is a prime.

It is a super-2 number, since 2×1060551632519992 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055163251993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5705869184 + ... + 5705887770.

It is an arithmetic number, because the mean of its divisors is an integer number (3592111371072).

Almost surely, 2106055163251999 is an apocalyptic number.

106055163251999 is a deficient number, since it is larger than the sum of its proper divisors (8892400622305).

106055163251999 is a wasteful number, since it uses less digits than its factorization.

106055163251999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527.

The product of its (nonzero) digits is 19683000, while the sum is 62.

The spelling of 106055163251999 in words is "one hundred six trillion, fifty-five billion, one hundred sixty-three million, two hundred fifty-one thousand, nine hundred ninety-nine".

Divisors: 1 13 223 643 2899 3061 8359 18587 39793 143389 241631 682603 1864057 1968223 4144901 8873839 11951441 25586899 53883713 56894807 155368733 438913729 739632491 2665171343 5705878477 12687541961 34647227459 36583360901 164938045493 475583691713 8158089480923 106055163251999