Search a number
-
+
10230312120 = 2335721991571
BaseRepresentation
bin10011000011100011…
…00010110010111000
3222101222010200221220
421201301202302320
5131422424441440
64411051032040
7511342134600
oct114161426270
928358120856
1010230312120
11437a820a06
121b9613b620
13c70628832
146d0995c00
153ed2038d0
hex261c62cb8

10230312120 has 192 divisors, whose sum is σ = 37581148800. Its totient is φ = 2215261440.

The previous prime is 10230312109. The next prime is 10230312133. The reversal of 10230312120 is 2121303201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10230312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65935 + ... + 157505.

It is an arithmetic number, because the mean of its divisors is an integer number (195735150).

Almost surely, 210230312120 is an apocalyptic number.

10230312120 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 10230312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790574400).

10230312120 is an abundant number, since it is smaller than the sum of its proper divisors (27350836680).

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

10230312120 is a wasteful number, since it uses less digits than its factorization.

10230312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91618 (or 91607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10230312120 its reverse (2121303201), we get a palindrome (12351615321).

The spelling of 10230312120 in words is "ten billion, two hundred thirty million, three hundred twelve thousand, one hundred twenty".