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231201122212320 = 2535132910330414079
BaseRepresentation
bin110100100100011010110100…
…110000101101100111100000
31010022121121111201200012221020
4310210122310300231213200
5220300444344241243240
62135420155042125440
766461505224245101
oct6444326460554740
91108547451605836
10231201122212320
11677389330a7197
1221b203b0050880
139c01231642b90
1441142a057a3a8
151bae1123260d0
hexd246b4c2d9e0

231201122212320 has 768 divisors, whose sum is σ = 819697845657600. Its totient is φ = 54383884369920.

The previous prime is 231201122212283. The next prime is 231201122212343. The reversal of 231201122212320 is 23212221102132.

It is a super-2 number, since 2×2312011222123202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56680832041 + ... + 56680836119.

It is an arithmetic number, because the mean of its divisors is an integer number (1067314903200).

Almost surely, 2231201122212320 is an apocalyptic number.

231201122212320 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 231201122212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409848922828800).

231201122212320 is an abundant number, since it is smaller than the sum of its proper divisors (588496723445280).

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

231201122212320 is a wasteful number, since it uses less digits than its factorization.

231201122212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 231201122212320 its reverse (23212221102132), we get a palindrome (254413343314452).

The spelling of 231201122212320 in words is "two hundred thirty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty".