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2131307520 = 210351967109
BaseRepresentation
bin111111100001001…
…0010110000000000
312111112102122021120
41333002102300000
513331103320040
6551253152240
7103546546356
oct17702226000
95445378246
102131307520
119a4081981
124b592b680
1327c730014
141630b97d6
15c719d7d0
hex7f092c00

2131307520 has 352 divisors, whose sum is σ = 7349548800. Its totient is φ = 525533184.

The previous prime is 2131307509. The next prime is 2131307531. The reversal of 2131307520 is 257031312.

It is an interprime number because it is at equal distance from previous prime (2131307509) and next prime (2131307531).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19553226 + ... + 19553334.

It is an arithmetic number, because the mean of its divisors is an integer number (20879400).

Almost surely, 22131307520 is an apocalyptic number.

2131307520 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 2131307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674774400).

2131307520 is an abundant number, since it is smaller than the sum of its proper divisors (5218241280).

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

2131307520 is a wasteful number, since it uses less digits than its factorization.

2131307520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2131307520 is about 46166.0862538725. The cubic root of 2131307520 is about 1286.9115709943.

Adding to 2131307520 its reverse (257031312), we get a palindrome (2388338832).

The spelling of 2131307520 in words is "two billion, one hundred thirty-one million, three hundred seven thousand, five hundred twenty".