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2130131520 = 263451131241
BaseRepresentation
bin111111011110111…
…0011101001000000
312111110012220010000
41332331303221000
513330303202040
6551212040000
7103533550656
oct17675635100
95443186100
102130131520
119a3449380
124b5463000
1327c40a96a
14162c90dd6
15c701a130
hex7ef73a40

2130131520 has 560 divisors, whose sum is σ = 8568147456. Its totient is φ = 497664000.

The previous prime is 2130131449. The next prime is 2130131537. The reversal of 2130131520 is 251310312.

2130131520 is a `hidden beast` number, since 2 + 13 + 0 + 131 + 520 = 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 = 2130131493 and 2130131502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8838600 + ... + 8838840.

Almost surely, 22130131520 is an apocalyptic number.

2130131520 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 2130131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284073728).

2130131520 is an abundant number, since it is smaller than the sum of its proper divisors (6438015936).

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

2130131520 is a wasteful number, since it uses less digits than its factorization.

2130131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2130131520 is about 46153.3478742333. The cubic root of 2130131520 is about 1286.6748326804.

Adding to 2130131520 its reverse (251310312), we get a palindrome (2381441832).

The spelling of 2130131520 in words is "two billion, one hundred thirty million, one hundred thirty-one thousand, five hundred twenty".