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23210122320 = 24345711181257
BaseRepresentation
bin10101100111011011…
…100101110001010000
32012220112221101020000
4111213123211301100
5340013242403240
614355041250000
71451111533050
oct254733456120
965815841200
1023210122320
119930566480
1245b9033900
13225b77b8b8
1411a2787560
1590c9b8430
hex5676e5c50

23210122320 has 800 divisors, whose sum is σ = 101452006656. Its totient is φ = 4777574400.

The previous prime is 23210122307. The next prime is 23210122367. The reversal of 23210122320 is 2322101232.

23210122320 is a `hidden beast` number, since 2 + 321 + 0 + 1 + 22 + 320 = 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 = 23210122293 and 23210122302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90311632 + ... + 90311888.

Almost surely, 223210122320 is an apocalyptic number.

23210122320 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 23210122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726003328).

23210122320 is an abundant number, since it is smaller than the sum of its proper divisors (78241884336).

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

23210122320 is a wasteful number, since it uses less digits than its factorization.

23210122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

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

Adding to 23210122320 its reverse (2322101232), we get a palindrome (25532223552).

It can be divided in two parts, 23210 and 122320, that added together give a triangular number (145530 = T539).

The spelling of 23210122320 in words is "twenty-three billion, two hundred ten million, one hundred twenty-two thousand, three hundred twenty".