Search a number
-
+
106283217036360 = 23357313198630517
BaseRepresentation
bin11000001010100111111101…
…011001011010010001001000
3111221022120120010200012221010
4120022213331121122101020
5102412321012030130420
61014013500313443520
731246465124556000
oct3012477531322110
9457276503605833
10106283217036360
1130957506245941
12bb064964105a0
13473c606281a10
141c361c6bdd000
15c44a0c8114e0
hex60a9fd65a448

106283217036360 has 256 divisors, whose sum is σ = 400439124288000. Its totient is φ = 22424590734336.

The previous prime is 106283217036341. The next prime is 106283217036419. The reversal of 106283217036360 is 63630712382601.

106283217036360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062832170363602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98780179 + ... + 99850338.

It is an arithmetic number, because the mean of its divisors is an integer number (1564215329250).

Almost surely, 2106283217036360 is an apocalyptic number.

106283217036360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106283217036360 is an abundant number, since it is smaller than the sum of its proper divisors (294155907251640).

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

106283217036360 is a wasteful number, since it uses less digits than its factorization.

106283217036360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198630565 (or 198630547 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 106283217036360 in words is "one hundred six trillion, two hundred eighty-three billion, two hundred seventeen million, thirty-six thousand, three hundred sixty".