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23023133100 = 223252114354083
BaseRepresentation
bin10101011100010010…
…010010000110101100
32012102112002100020100
4111130102102012230
5334122410224400
614324321351100
71443351255012
oct253422220654
965375070210
1023023133100
119844a5a730
124566498490
13222bacb6a6
1411859d08b2
158eb37e100
hex55c4921ac

23023133100 has 216 divisors, whose sum is σ = 80557468992. Its totient is φ = 5451465600.

The previous prime is 23023133083. The next prime is 23023133141. The reversal of 23023133100 is 133132032.

23023133100 is a `hidden beast` number, since 2 + 302 + 31 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×230231331002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398659 + ... + 452741.

Almost surely, 223023133100 is an apocalyptic number.

23023133100 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 23023133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40278734496).

23023133100 is an abundant number, since it is smaller than the sum of its proper divisors (57534335892).

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

23023133100 is a wasteful number, since it uses less digits than its factorization.

23023133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54157 (or 54147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23023133100 its reverse (133132032), we get a palindrome (23156265132).

The spelling of 23023133100 in words is "twenty-three billion, twenty-three million, one hundred thirty-three thousand, one hundred".