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2312310000 = 243547211213
BaseRepresentation
bin1000100111010011…
…0000110011110000
312222011000112000010
42021310300303300
514213422410000
61021240454520
7111205211400
oct21164606360
95864015003
102312310000
11a87269800
1254647a440
132ab095290
1417d154800
15d8003d50
hex89d30cf0

2312310000 has 900 divisors, whose sum is σ = 10278441096. Its totient is φ = 443520000.

The previous prime is 2312309971. The next prime is 2312310001. The reversal of 2312310000 is 132132.

It is a happy number.

It is a super-2 number, since 2×23123100002 = 10693555072200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312310001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 177869994 + ... + 177870006.

Almost surely, 22312310000 is an apocalyptic number.

2312310000 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 2312310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139220548).

2312310000 is an abundant number, since it is smaller than the sum of its proper divisors (7966131096).

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

2312310000 is a wasteful number, since it uses less digits than its factorization.

2312310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

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

The square root of 2312310000 is about 48086.4845876677. The cubic root of 2312310000 is about 1322.3569002890.

Adding to 2312310000 its reverse (132132), we get a palindrome (2312442132).

It can be divided in two parts, 231 and 2310000, that multiplied together give a square (533610000 = 231002).

The spelling of 2312310000 in words is "two billion, three hundred twelve million, three hundred ten thousand".