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130213311312 = 2437387539617
BaseRepresentation
bin111100101000101010…
…0010111001101010000
3110110002210022120201210
41321101110113031100
54113134101430222
6135452535100120
712256543612140
oct1712124271520
9413083276653
10130213311312
1150250024077
12212a0211640
13c38213c946
146433954920
1535c194bd0c
hex1e51517350

130213311312 has 40 divisors (see below), whose sum is σ = 384439301056. Its totient is φ = 37203803136.

The previous prime is 130213311311. The next prime is 130213311313. The reversal of 130213311312 is 213113312031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130213311311) and next prime (130213311313).

It is a super-2 number, since 2×1302133113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193769473 + ... + 193770144.

Almost surely, 2130213311312 is an apocalyptic number.

130213311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130213311312 is an abundant number, since it is smaller than the sum of its proper divisors (254225989744).

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

130213311312 is a wasteful number, since it uses less digits than its factorization.

130213311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387539635 (or 387539629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130213311312 its reverse (213113312031), we get a palindrome (343326623343).

The spelling of 130213311312 in words is "one hundred thirty billion, two hundred thirteen million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 387539617 775079234 1162618851 1550158468 2325237702 2712777319 3100316936 4650475404 5425554638 6200633872 8138331957 9300950808 10851109276 16276663914 18601901616 21702218552 32553327828 43404437104 65106655656 130213311312