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2313120000 = 283546179
BaseRepresentation
bin1000100111011111…
…0110100100000000
312222012112200010010
42021313312210000
514214124320000
61021310104520
7111215124042
oct21167664400
95865480103
102313120000
11a87772324
125467ab140
132ab2b9b79
1417d2c5a92
15d8113d50
hex89df6900

2313120000 has 360 divisors, whose sum is σ = 7917965440. Its totient is φ = 599040000.

The previous prime is 2313119987. The next prime is 2313120013. The reversal of 2313120000 is 213132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2313119987) and next prime (2313120013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29279961 + ... + 29280039.

Almost surely, 22313120000 is an apocalyptic number.

2313120000 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 2313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958982720).

2313120000 is an abundant number, since it is smaller than the sum of its proper divisors (5604845440).

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

2313120000 is an frugal number, since it uses more digits than its factorization.

2313120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

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

The square root of 2313120000 is about 48094.9061751866. The cubic root of 2313120000 is about 1322.5112890524.

Adding to 2313120000 its reverse (213132), we get a palindrome (2313333132).

The spelling of 2313120000 in words is "two billion, three hundred thirteen million, one hundred twenty thousand".