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213212030232320 = 28571011367172351
BaseRepresentation
bin110000011110101001001011…
…010100101110011100000000
31000221220212111222102101122022
4300132221023110232130000
5210421231214214413240
62033244130545501012
762624026604323640
oct6036511324563400
91027825458371568
10213212030232320
1161a327947048a9
121bab5b05641768
1391c7a67754912
143a91735778520
15199b202ddd9b5
hexc1ea4b52e700

213212030232320 has 288 divisors, whose sum is σ = 589881443106816. Its totient is φ = 72324126720000.

The previous prime is 213212030232293. The next prime is 213212030232329. The reversal of 213212030232320 is 23232030212312.

It is a self number, because there is not a number n which added to its sum of digits gives 213212030232320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212030232329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236994145 + ... + 1237166495.

It is an arithmetic number, because the mean of its divisors is an integer number (2048199455232).

Almost surely, 2213212030232320 is an apocalyptic number.

213212030232320 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 213212030232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294940721553408).

213212030232320 is an abundant number, since it is smaller than the sum of its proper divisors (376669412874496).

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

213212030232320 is a wasteful number, since it uses less digits than its factorization.

213212030232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173847 (or 173833 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 213212030232320 its reverse (23232030212312), we get a palindrome (236444060444632).

The spelling of 213212030232320 in words is "two hundred thirteen trillion, two hundred twelve billion, thirty million, two hundred thirty-two thousand, three hundred twenty".