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23018510340 = 2236571713267
BaseRepresentation
bin10101011100000000…
…101001100000000100
32012102012101111000000
4111130000221200010
5334120214312330
614324034321300
71443264052410
oct253400514004
965365344000
1023018510340
119842392571
124564a29230
13222ab70527
141185149d40
158eac69560
hex55c029804

23018510340 has 336 divisors, whose sum is σ = 87707636352. Its totient is φ = 4951507968.

The previous prime is 23018510293. The next prime is 23018510353. The reversal of 23018510340 is 4301581032.

It is a happy number.

23018510340 is a `hidden beast` number, since 2 + 301 + 8 + 5 + 10 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1728387 + ... + 1741653.

It is an arithmetic number, because the mean of its divisors is an integer number (261034632).

Almost surely, 223018510340 is an apocalyptic number.

23018510340 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 23018510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43853818176).

23018510340 is an abundant number, since it is smaller than the sum of its proper divisors (64689126012).

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

23018510340 is a wasteful number, since it uses less digits than its factorization.

23018510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 230 and 18510340, that added together give a triangular number (18510570 = T6084).

The spelling of 23018510340 in words is "twenty-three billion, eighteen million, five hundred ten thousand, three hundred forty".