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230021220032120 = 2351141191467142949
BaseRepresentation
bin110100010011001111111101…
…000111000101111001111000
31010011102210222022120010202002
4310103033331013011321320
5220122131424312011440
62133114142323400132
766310325156220626
oct6423177507057170
91104383868503662
10230021220032120
11673234a7081630
122196b7a1223048
139b46ba5a9214a
1440b312d31c516
151b8d5a6c7a115
hexd133fd1c5e78

230021220032120 has 256 divisors, whose sum is σ = 582645353472000. Its totient is φ = 81002341888000.

The previous prime is 230021220032119. The next prime is 230021220032143. The reversal of 230021220032120 is 21230022120032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230021220032092 and 230021220032101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609042406 + ... + 1609185354.

It is an arithmetic number, because the mean of its divisors is an integer number (2275958412000).

Almost surely, 2230021220032120 is an apocalyptic number.

230021220032120 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 230021220032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291322676736000).

230021220032120 is an abundant number, since it is smaller than the sum of its proper divisors (352624133439880).

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

230021220032120 is a wasteful number, since it uses less digits than its factorization.

230021220032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143670 (or 143666 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 230021220032120 its reverse (21230022120032), we get a palindrome (251251242152152).

The spelling of 230021220032120 in words is "two hundred thirty trillion, twenty-one billion, two hundred twenty million, thirty-two thousand, one hundred twenty".