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232100120021220 = 22325112385722692621
BaseRepresentation
bin110100110001100000000101…
…001101001100100011100100
31010102210112222102122201102200
4310301200011031030203210
5220410212021211134340
62141345153445134500
766613452225450513
oct6461400515144344
91112715872581380
10232100120021220
1167a55120a06a80
12220466846ba430
139c67c415a56a9
1441459c480467a
151bc76cb88c330
hexd3180534c8e4

232100120021220 has 576 divisors, whose sum is σ = 803028507240960. Its totient is φ = 53713323417600.

The previous prime is 232100120021219. The next prime is 232100120021249. The reversal of 232100120021220 is 22120021001232.

232100120021220 is a `hidden beast` number, since 2 + 321 + 0 + 0 + 120 + 0 + 2 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232100120021193 and 232100120021202.

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 191 ways as a sum of consecutive naturals, for example, 88554031510 + ... + 88554034130.

It is an arithmetic number, because the mean of its divisors is an integer number (1394146713960).

Almost surely, 2232100120021220 is an apocalyptic number.

232100120021220 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 232100120021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401514253620480).

232100120021220 is an abundant number, since it is smaller than the sum of its proper divisors (570928387219740).

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

232100120021220 is a wasteful number, since it uses less digits than its factorization.

232100120021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232100120021220 its reverse (22120021001232), we get a palindrome (254220141022452).

The spelling of 232100120021220 in words is "two hundred thirty-two trillion, one hundred billion, one hundred twenty million, twenty-one thousand, two hundred twenty".