Search a number
-
+
2130430302 = 2337112133583
BaseRepresentation
bin111111011111011…
…1100100101011110
312111110210001222000
41332332330211132
513330342232202
6551222303130
7103536234030
oct17676744536
95443701860
102130430302
119a3632900
124b5587aa6
1327c4b3960
14162d2bc50
15c707891c
hex7efbc95e

2130430302 has 192 divisors, whose sum is σ = 6406471680. Its totient is φ = 510649920.

The previous prime is 2130430301. The next prime is 2130430319. The reversal of 2130430302 is 2030340312.

It is a super-2 number, since 2×21304303022 = 9077466543359622408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130430301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592803 + ... + 596385.

It is an arithmetic number, because the mean of its divisors is an integer number (33367040).

Almost surely, 22130430302 is an apocalyptic number.

2130430302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130430302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203235840).

2130430302 is an abundant number, since it is smaller than the sum of its proper divisors (4276041378).

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

2130430302 is a wasteful number, since it uses less digits than its factorization.

2130430302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2130430302 is about 46156.5846006829. The cubic root of 2130430302 is about 1286.7349881690.

Adding to 2130430302 its reverse (2030340312), we get a palindrome (4160770614).

The spelling of 2130430302 in words is "two billion, one hundred thirty million, four hundred thirty thousand, three hundred two".