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213223230000000 = 27325711375821
BaseRepresentation
bin110000011110110011100110…
…111000011100101110000000
31000221221221102111202112121200
4300132303212320130232000
5210421422133340000000
62033253222151421200
762624604260635563
oct6036634670345600
91027857374675550
10213223230000000
1161a37511687050
121bab8110384800
1391c8b30b8489c
143a920b8daa4da
15199b65b28d500
hexc1ece6e1cb80

213223230000000 has 1536 divisors, whose sum is σ = 859447807620480. Its totient is φ = 50284800000000.

The previous prime is 213223229999999. The next prime is 213223230000029. The reversal of 213223230000000 is 32322312.

It is a happy number.

213223230000000 is a `hidden beast` number, since 2 + 132 + 232 + 300 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 36629997090 + ... + 36630002910.

Almost surely, 2213223230000000 is an apocalyptic number.

213223230000000 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 213223230000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429723903810240).

213223230000000 is an abundant number, since it is smaller than the sum of its proper divisors (646224577620480).

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

213223230000000 is an frugal number, since it uses more digits than its factorization.

213223230000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213223230000000 its reverse (32322312), we get a palindrome (213223262322312).

The spelling of 213223230000000 in words is "two hundred thirteen trillion, two hundred twenty-three billion, two hundred thirty million", and thus it is an aban number.