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2130203040 = 253572232843
BaseRepresentation
bin111111011111000…
…0101000110100000
312111110100112012220
41332332011012200
513330312444130
6551213351040
7103534266330
oct17676050640
95443315186
102130203040
119a3498089
124b5498480
1327c434394
14162cad0c0
15c7031410
hex7ef851a0

2130203040 has 192 divisors, whose sum is σ = 7705829376. Its totient is φ = 484549632.

The previous prime is 2130203017. The next prime is 2130203041. The reversal of 2130203040 is 403020312.

2130203040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2130203041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747859 + ... + 750701.

It is an arithmetic number, because the mean of its divisors is an integer number (40134528).

Almost surely, 22130203040 is an apocalyptic number.

2130203040 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 2130203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852914688).

2130203040 is an abundant number, since it is smaller than the sum of its proper divisors (5575626336).

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

2130203040 is a wasteful number, since it uses less digits than its factorization.

2130203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2130203040 is about 46154.1226760947. The cubic root of 2130203040 is about 1286.6892327231.

Adding to 2130203040 its reverse (403020312), we get a palindrome (2533223352).

The spelling of 2130203040 in words is "two billion, one hundred thirty million, two hundred three thousand, forty".