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232210000010100 = 22352717191723198689
BaseRepresentation
bin110100110011000110011010…
…100100000101101101110100
31010110012001121011020111111110
4310303012122210011231310
5220414012040000310400
62141511445030435020
766624422162112360
oct6463063244055564
91113161534214443
10232210000010100
1167a97787337a42
1222063a2b202a70
139c75402c735a8
14414b049aa82a0
151bca4ad17ae50
hexd3319a905b74

232210000010100 has 576 divisors, whose sum is σ = 856299093350400. Its totient is φ = 47297535344640.

The previous prime is 232210000009973. The next prime is 232210000010123. The reversal of 232210000010100 is 1010000012232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1168611556 + ... + 1168810244.

It is an arithmetic number, because the mean of its divisors is an integer number (1486630370400).

Almost surely, 2232210000010100 is an apocalyptic number.

232210000010100 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 232210000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428149546675200).

232210000010100 is an abundant number, since it is smaller than the sum of its proper divisors (624089093340300).

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

232210000010100 is a wasteful number, since it uses less digits than its factorization.

232210000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200472 (or 200465 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 232210000010100 its reverse (1010000012232), we get a palindrome (233220000022332).

The spelling of 232210000010100 in words is "two hundred thirty-two trillion, two hundred ten billion, ten thousand, one hundred".