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23131020000 = 2535411101347
BaseRepresentation
bin10101100010101101…
…110101101011100000
32012201001002120020110
4111202231311223200
5334333020120000
614343134011320
71446131266044
oct254255655340
965631076213
1023131020000
11989a948760
124596646b40
132248273caa
141196076024
15905a90850
hex562b75ae0

23131020000 has 480 divisors, whose sum is σ = 83832465024. Its totient is φ = 5536000000.

The previous prime is 23131019963. The next prime is 23131020023. The reversal of 23131020000 is 2013132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66659827 + ... + 66660173.

Almost surely, 223131020000 is an apocalyptic number.

23131020000 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 23131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41916232512).

23131020000 is an abundant number, since it is smaller than the sum of its proper divisors (60701445024).

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

23131020000 is a wasteful number, since it uses less digits than its factorization.

23131020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23131020000 its reverse (2013132), we get a palindrome (23133033132).

The spelling of 23131020000 in words is "twenty-three billion, one hundred thirty-one million, twenty thousand".