Search a number
-
+
10115580000 = 25354533181
BaseRepresentation
bin10010110101110111…
…11000000001100000
3222002222020201002010
421122323320001200
5131204042030000
64351431552520
7505450003611
oct113273700140
928088221063
1010115580000
114320a87a79
121b6382b740
13c529275c6
146bd64bc08
153e30ddd50
hex25aef8060

10115580000 has 240 divisors, whose sum is σ = 33817812336. Its totient is φ = 2645760000.

The previous prime is 10115579963. The next prime is 10115580049. The reversal of 10115580000 is 8551101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3178410 + ... + 3181590.

Almost surely, 210115580000 is an apocalyptic number.

10115580000 is a gapful number since it is divisible by the number (10) 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 10115580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908906168).

10115580000 is an abundant number, since it is smaller than the sum of its proper divisors (23702232336).

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

10115580000 is an equidigital number, since it uses as much as digits as its factorization.

10115580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The spelling of 10115580000 in words is "ten billion, one hundred fifteen million, five hundred eighty thousand".