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213232230120 = 2335713174724439
BaseRepresentation
bin1100011010010110100…
…0011001111011101000
3202101101112001121210110
43012211220121323220
511443144422330440
6241542454414320
721256044023250
oct3064550317350
9671345047713
10213232230120
1182482042578
12353ab0613a0
1317152851240
14a46b61c960
15582ee9a080
hex31a5a19ee8

213232230120 has 512 divisors, whose sum is σ = 851403571200. Its totient is φ = 41440591872.

The previous prime is 213232230091. The next prime is 213232230203. The reversal of 213232230120 is 21032232312.

It is a happy number.

213232230120 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 (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8712861 + ... + 8737299.

It is an arithmetic number, because the mean of its divisors is an integer number (1662897600).

Almost surely, 2213232230120 is an apocalyptic number.

213232230120 is a gapful number since it is divisible by the number (20) 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 213232230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425701785600).

213232230120 is an abundant number, since it is smaller than the sum of its proper divisors (638171341080).

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

213232230120 is a wasteful number, since it uses less digits than its factorization.

213232230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24537 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213232230120 its reverse (21032232312), we get a palindrome (234264462432).

The spelling of 213232230120 in words is "two hundred thirteen billion, two hundred thirty-two million, two hundred thirty thousand, one hundred twenty".