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23203212120 = 233251115737321
BaseRepresentation
bin10101100111000001…
…001110101101011000
32012220001221022012200
4111213001032231120
5340010010241440
614354233210200
71450666022514
oct254701165530
965801838180
1023203212120
119927676770
1245b6860960
13225a1cc51a
1411a18a9144
1590c0a0c30
hex56704eb58

23203212120 has 192 divisors, whose sum is σ = 82792139040. Its totient is φ = 5589043200.

The previous prime is 23203212031. The next prime is 23203212143. The reversal of 23203212120 is 2121230232.

23203212120 is a `hidden beast` number, since 2 + 320 + 321 + 2 + 1 + 20 = 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 = 23203212093 and 23203212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603060 + ... + 640380.

Almost surely, 223203212120 is an apocalyptic number.

23203212120 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 23203212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41396069520).

23203212120 is an abundant number, since it is smaller than the sum of its proper divisors (59588926920).

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

23203212120 is a wasteful number, since it uses less digits than its factorization.

23203212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37506 (or 37499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23203212120 its reverse (2121230232), we get a palindrome (25324442352).

The spelling of 23203212120 in words is "twenty-three billion, two hundred three million, two hundred twelve thousand, one hundred twenty".