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23130441000 = 23365331729
BaseRepresentation
bin10101100010101011…
…101000010100101000
32012201000000011000000
4111202223220110220
5334332343103000
614343113343000
71446123335022
oct254253502450
965630004000
1023130441000
11989a592747
124596407a60
1322481005a4
141195d65012
159059c9000
hex562ae8528

23130441000 has 224 divisors, whose sum is σ = 81153282600. Its totient is φ = 6167923200.

The previous prime is 23130440953. The next prime is 23130441041. The reversal of 23130441000 is 14403132.

It can be written as a sum of positive squares in 4 ways, for example, as 13118037156 + 10012403844 = 114534^2 + 100062^2 .

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 55 ways as a sum of consecutive naturals, for example, 713136 + ... + 744864.

Almost surely, 223130441000 is an apocalyptic number.

23130441000 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 23130441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40576641300).

23130441000 is an abundant number, since it is smaller than the sum of its proper divisors (58022841600).

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

23130441000 is an equidigital number, since it uses as much as digits as its factorization.

23130441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31768 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23130441000 its reverse (14403132), we get a palindrome (23144844132).

The spelling of 23130441000 in words is "twenty-three billion, one hundred thirty million, four hundred forty-one thousand".