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12130400310 = 2357222073739
BaseRepresentation
bin10110100110000011…
…10011100000110110
31011022101111011221120
423103001303200312
5144320340302220
65323404324410
7606413462400
oct132301634066
934271434846
1012130400310
115165327326
122426543706
1311b4190582
14831083b70
154aee2ca40
hex2d3073836

12130400310 has 96 divisors (see below), whose sum is σ = 33890503680. Its totient is φ = 2770665408.

The previous prime is 12130400279. The next prime is 12130400311. The reversal of 12130400310 is 1300403121.

It is a super-2 number, since 2×121304003102 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12130400310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130400311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3242421 + ... + 3246159.

It is an arithmetic number, because the mean of its divisors is an integer number (353026080).

Almost surely, 212130400310 is an apocalyptic number.

12130400310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130400310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945251840).

12130400310 is an abundant number, since it is smaller than the sum of its proper divisors (21760103370).

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

12130400310 is a wasteful number, since it uses less digits than its factorization.

12130400310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12130400310 its reverse (1300403121), we get a palindrome (13430803431).

The spelling of 12130400310 in words is "twelve billion, one hundred thirty million, four hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2207 3739 4414 6621 7478 11035 11217 13242 15449 18695 22070 22434 26173 30898 33105 37390 46347 52346 56085 66210 77245 78519 92694 108143 112170 130865 154490 157038 183211 216286 231735 261730 324429 366422 392595 463470 540715 549633 648858 785190 916055 1081430 1099266 1622145 1832110 2748165 3244290 5496330 8251973 16503946 24755919 41259865 49511838 57763811 82519730 115527622 123779595 173291433 247559190 288819055 346582866 404346677 577638110 808693354 866457165 1213040031 1732914330 2021733385 2426080062 4043466770 6065200155 12130400310