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23111212320 = 2532573761967
BaseRepresentation
bin10101100001100010…
…010001110100100000
32012122122211020012200
4111201202101310200
5334312432243240
614341145253200
71445501030520
oct254142216440
965578736180
1023111212320
11988a749979
12458ba94200
13224412a281
14119359b680
15903e7b930
hex561891d20

23111212320 has 288 divisors, whose sum is σ = 92571268608. Its totient is φ = 5139707904.

The previous prime is 23111212297. The next prime is 23111212321. The reversal of 23111212320 is 2321211132.

23111212320 is a `hidden beast` number, since 2 + 311 + 121 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 23111212293 and 23111212302.

It is not an unprimeable number, because it can be changed into a prime (23111212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341977 + ... + 403943.

It is an arithmetic number, because the mean of its divisors is an integer number (321428016).

Almost surely, 223111212320 is an apocalyptic number.

23111212320 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 23111212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46285634304).

23111212320 is an abundant number, since it is smaller than the sum of its proper divisors (69460056288).

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

23111212320 is a wasteful number, since it uses less digits than its factorization.

23111212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62032 (or 62021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23111212320 its reverse (2321211132), we get a palindrome (25432423452).

It can be divided in two parts, 2311121 and 2320, that added together give a 4-th power (2313441 = 394).

The spelling of 23111212320 in words is "twenty-three billion, one hundred eleven million, two hundred twelve thousand, three hundred twenty".