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2313012000 = 253531314827
BaseRepresentation
bin1000100111011101…
…1100001100100000
312222012100011222010
42021313130030200
514214112341000
61021303512520
7111214164135
oct21167341440
95865304863
102313012000
11a876a9172
12546758740
132ab27c970
1417d29858c
15d80e1d50
hex89ddc320

2313012000 has 192 divisors, whose sum is σ = 8160856704. Its totient is φ = 569318400.

The previous prime is 2313011999. The next prime is 2313012001. The reversal of 2313012000 is 2103132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2313011999) and next prime (2313012001).

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

It is not an unprimeable number, because it can be changed into a prime (2313012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148587 + ... + 163413.

It is an arithmetic number, because the mean of its divisors is an integer number (42504462).

Almost surely, 22313012000 is an apocalyptic number.

2313012000 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 2313012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080428352).

2313012000 is an abundant number, since it is smaller than the sum of its proper divisors (5847844704).

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

2313012000 is a wasteful number, since it uses less digits than its factorization.

2313012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14868 (or 14850 counting only the distinct ones).

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

The square root of 2313012000 is about 48093.7833820547. The cubic root of 2313012000 is about 1322.4907059666.

Adding to 2313012000 its reverse (2103132), we get a palindrome (2315115132).

The spelling of 2313012000 in words is "two billion, three hundred thirteen million, twelve thousand".