Search a number
-
+
8102282396130 = 236513734992347
BaseRepresentation
bin111010111100111010110…
…1010100000000111100010
31001200120101222202111000000
41311321311222200013202
52030221433243134010
625122045342440430
71464241053016656
oct165716552400742
931616358674000
108102282396130
11264418220632a
12aaa339b93116
1346a071224150
1420021c8a8a66
15e0b5b7457c0
hex75e75aa01e2

8102282396130 has 448 divisors, whose sum is σ = 23928777936000. Its totient is φ = 1962308809728.

The previous prime is 8102282396123. The next prime is 8102282396171. The reversal of 8102282396130 is 316932822018.

8102282396130 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 2 + 8 + 23 + 9 + 613 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3452185617 + ... + 3452187963.

It is an arithmetic number, because the mean of its divisors is an integer number (53412450750).

Almost surely, 28102282396130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8102282396130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964388968000).

8102282396130 is an abundant number, since it is smaller than the sum of its proper divisors (15826495539870).

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

8102282396130 is a wasteful number, since it uses less digits than its factorization.

8102282396130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8102282396130 in words is "eight trillion, one hundred two billion, two hundred eighty-two million, three hundred ninety-six thousand, one hundred thirty".