Search a number
-
+
10059903000 = 23335371731101
BaseRepresentation
bin10010101111001110…
…11111000000011000
3221222002111000121000
421113213133000120
5131100313344000
64342122345000
7504202523160
oct112747370030
927862430530
1010059903000
1142a260a024
121b4905b160
13c44232234
146b60b75a0
153dd292000
hex2579df018

10059903000 has 1024 divisors, whose sum is σ = 43993497600. Its totient is φ = 2073600000.

The previous prime is 10059902989. The next prime is 10059903037. The reversal of 10059903000 is 30995001.

10059903000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99602950 + ... + 99603050.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 210059903000 is an apocalyptic number.

10059903000 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 10059903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996748800).

10059903000 is an abundant number, since it is smaller than the sum of its proper divisors (33933594600).

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

10059903000 is a wasteful number, since it uses less digits than its factorization.

10059903000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The spelling of 10059903000 in words is "ten billion, fifty-nine million, nine hundred three thousand".