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10304311320 = 2334517296451
BaseRepresentation
bin10011001100010111…
…10101000000011000
3222121010101020210000
421212023311000120
5132100400430240
64422253053000
7513231125652
oct114613650030
928533336700
1010304311320
114408573676
121bb6a87160
13c82a67744
146da7396d2
1540496e430
hex2662f5018

10304311320 has 320 divisors, whose sum is σ = 37941631200. Its totient is φ = 2496614400.

The previous prime is 10304311301. The next prime is 10304311327. The reversal of 10304311320 is 2311340301.

10304311320 is a `hidden beast` number, since 1 + 0 + 30 + 4 + 311 + 320 = 666.

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 = 10304311293 and 10304311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304311327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1594095 + ... + 1600545.

Almost surely, 210304311320 is an apocalyptic number.

10304311320 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 10304311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970815600).

10304311320 is an abundant number, since it is smaller than the sum of its proper divisors (27637319880).

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

10304311320 is a wasteful number, since it uses less digits than its factorization.

10304311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6507 counting only the distinct ones).

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

Adding to 10304311320 its reverse (2311340301), we get a palindrome (12615651621).

The spelling of 10304311320 in words is "ten billion, three hundred four million, three hundred eleven thousand, three hundred twenty".