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23131115280 = 2432571317191093
BaseRepresentation
bin10101100010101110…
…001100111100010000
32012201001021101221100
4111202232030330100
5334333031142110
614343140024400
71446132143610
oct254256147420
965631241840
1023131115280
11989aa032a9
124596692100
1322482a8480
14119609ca40
15905aadbc0
hex562b8cf10

23131115280 has 960 divisors, whose sum is σ = 106658173440. Its totient is φ = 4347592704.

The previous prime is 23131115257. The next prime is 23131115281. The reversal of 23131115280 is 8251113132.

23131115280 is a `hidden beast` number, since 2 + 3 + 131 + 1 + 1 + 528 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (23131115281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162414 + ... + 21163506.

It is an arithmetic number, because the mean of its divisors is an integer number (111102264).

Almost surely, 223131115280 is an apocalyptic number.

23131115280 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 23131115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53329086720).

23131115280 is an abundant number, since it is smaller than the sum of its proper divisors (83527058160).

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

23131115280 is a wasteful number, since it uses less digits than its factorization.

23131115280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 23131115280 in words is "twenty-three billion, one hundred thirty-one million, one hundred fifteen thousand, two hundred eighty".