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10312312320 = 293251923557
BaseRepresentation
bin10011001101010100…
…10110011000000000
3222121200102202002100
421212222112120000
5132104422443240
64423140350400
7513356131332
oct114652263000
928550382070
1010312312320
114412038972
121bb96a5400
13c8460946b
146db81d452
154054eee30
hex266a96600

10312312320 has 240 divisors, whose sum is σ = 37595741040. Its totient is φ = 2605105152.

The previous prime is 10312312289. The next prime is 10312312337. The reversal of 10312312320 is 2321321301.

10312312320 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10312312293 and 10312312302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425982 + ... + 449538.

It is an arithmetic number, because the mean of its divisors is an integer number (156648921).

Almost surely, 210312312320 is an apocalyptic number.

10312312320 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 10312312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797870520).

10312312320 is an abundant number, since it is smaller than the sum of its proper divisors (27283428720).

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

10312312320 is a wasteful number, since it uses less digits than its factorization.

10312312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605 (or 23586 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10312312320 its reverse (2321321301), we get a palindrome (12633633621).

The spelling of 10312312320 in words is "ten billion, three hundred twelve million, three hundred twelve thousand, three hundred twenty".