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2130660312 = 233118070683
BaseRepresentation
bin111111011111111…
…0100101111011000
312111111012202110220
41332333310233120
513330422112222
6551231240040
7103541212434
oct17677645730
95444182426
102130660312
119a377a6a0
124b5679020
1327c564561
14162d8b9c4
15c70c1b5c
hex7eff4bd8

2130660312 has 32 divisors (see below), whose sum is σ = 5810892480. Its totient is φ = 645654560.

The previous prime is 2130660307. The next prime is 2130660319.

It is a happy number.

2130660312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130660319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035078 + ... + 4035605.

It is an arithmetic number, because the mean of its divisors is an integer number (181590390).

Almost surely, 22130660312 is an apocalyptic number.

2130660312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2130660312 is an abundant number, since it is smaller than the sum of its proper divisors (3680232168).

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

2130660312 is a wasteful number, since it uses less digits than its factorization.

2130660312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070703 (or 8070699 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2130660312 is about 46159.0761605992. The cubic root of 2130660312 is about 1286.7812935663.

It can be divided in two parts, 21306 and 60312, that added together give a palindrome (81618).

The spelling of 2130660312 in words is "two billion, one hundred thirty million, six hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8070683 16141366 24212049 32282732 48424098 64565464 88777513 96848196 177555026 193696392 266332539 355110052 532665078 710220104 1065330156 2130660312