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23123331000 = 23325371161547
BaseRepresentation
bin10101100010010000…
…100000011110111000
32012200111121220220200
4111202100200132320
5334324033043000
614342301122200
71446006033120
oct254220403670
965614556820
1023123331000
119896576910
124593b59360
1322467b12a3
141195033c80
15905072500
hex5624207b8

23123331000 has 768 divisors, whose sum is σ = 99220792320. Its totient is φ = 4717440000.

The previous prime is 23123330983. The next prime is 23123331001. The reversal of 23123331000 is 13332132.

23123331000 is a `hidden beast` number, since 231 + 2 + 333 + 100 + 0 = 666.

It is a super-3 number, since 3×231233310003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123331001) 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, 42272727 + ... + 42273273.

It is an arithmetic number, because the mean of its divisors is an integer number (129193740).

Almost surely, 223123331000 is an apocalyptic number.

23123331000 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 23123331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610396160).

23123331000 is an abundant number, since it is smaller than the sum of its proper divisors (76097461320).

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

23123331000 is a wasteful number, since it uses less digits than its factorization.

23123331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

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

Adding to 23123331000 its reverse (13332132), we get a palindrome (23136663132).

The spelling of 23123331000 in words is "twenty-three billion, one hundred twenty-three million, three hundred thirty-one thousand".