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320023131120 = 243357111924141
BaseRepresentation
bin1001010100000101101…
…11010111001111110000
31010121000221222110221000
410222002313113033300
520220401410143440
6403003330202000
732056320506040
oct4520267271760
91117027873830
10320023131120
111137a2795050
1252033123300
1324241244ba4
14116bc529720
1584d0498730
hex4a82dd73f0

320023131120 has 320 divisors, whose sum is σ = 1374299182080. Its totient is φ = 66498278400.

The previous prime is 320023131067. The next prime is 320023131137. The reversal of 320023131120 is 21131320023.

320023131120 is a `hidden beast` number, since 320 + 0 + 2 + 31 + 311 + 2 + 0 = 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 = 320023131093 and 320023131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795751 + ... + 1128390.

It is an arithmetic number, because the mean of its divisors is an integer number (4294684944).

Almost surely, 2320023131120 is an apocalyptic number.

320023131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320023131120 is an abundant number, since it is smaller than the sum of its proper divisors (1054276050960).

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

320023131120 is a wasteful number, since it uses less digits than its factorization.

320023131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924181 (or 1924169 counting only the distinct ones).

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

Adding to 320023131120 its reverse (21131320023), we get a palindrome (341154451143).

The spelling of 320023131120 in words is "three hundred twenty billion, twenty-three million, one hundred thirty-one thousand, one hundred twenty".