Search a number
-
+
130025339136 = 283271129127199
BaseRepresentation
bin111100100011000011…
…1010011100100000000
3110102121200121121101100
41321012013103210000
54112242441323021
6135422142134400
712252102101250
oct1710607234400
9412550547340
10130025339136
1150163a06870
1221249281400
13c3522071c4
1464169c3960
1535b01bb626
hex1e461d3900

130025339136 has 864 divisors, whose sum is σ = 489775104000. Its totient is φ = 32188907520.

The previous prime is 130025339089. The next prime is 130025339141. The reversal of 130025339136 is 631933520031.

130025339136 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 533 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130025339136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653393565 + ... + 653393763.

Almost surely, 2130025339136 is an apocalyptic number.

130025339136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130025339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552000).

130025339136 is an abundant number, since it is smaller than the sum of its proper divisors (359749764864).

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

130025339136 is a wasteful number, since it uses less digits than its factorization.

130025339136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

Adding to 130025339136 its reverse (631933520031), we get a palindrome (761958859167).

The spelling of 130025339136 in words is "one hundred thirty billion, twenty-five million, three hundred thirty-nine thousand, one hundred thirty-six".