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12310450560 = 2732537471229
BaseRepresentation
bin10110111011100001…
…01001000110000000
31011202221021200110100
423131300221012000
5200202433404220
65353315402400
7614031050262
oct133560510600
934687250410
1012310450560
115247a23791
1224768b3400
131212581295
1484ad51b32
154c0b45d90
hex2ddc29180

12310450560 has 384 divisors, whose sum is σ = 44623612800. Its totient is φ = 3123560448.

The previous prime is 12310450547. The next prime is 12310450561. The reversal of 12310450560 is 6505401321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310450561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10016026 + ... + 10017254.

It is an arithmetic number, because the mean of its divisors is an integer number (116207325).

Almost surely, 212310450560 is an apocalyptic number.

12310450560 is a gapful number since it is divisible by the number (10) 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 12310450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311806400).

12310450560 is an abundant number, since it is smaller than the sum of its proper divisors (32313162240).

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

12310450560 is a wasteful number, since it uses less digits than its factorization.

12310450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12310450560 its reverse (6505401321), we get a palindrome (18815851881).

The spelling of 12310450560 in words is "twelve billion, three hundred ten million, four hundred fifty thousand, five hundred sixty".