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12131300130 = 2351726988427
BaseRepresentation
bin10110100110001010…
…01111001100100010
31011022110011220021020
423103011033030202
5144321103101010
65323435510310
7606424230645
oct132305171442
934273156236
1012131300130
115165891384
1224268b8396
1311b4417001
14831239a5c
154b0059470
hex2d314f322

12131300130 has 64 divisors (see below), whose sum is σ = 30942725760. Its totient is φ = 3033365504.

The previous prime is 12131300117. The next prime is 12131300131. The reversal of 12131300130 is 3100313121.

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 (12131300131) 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, 92977 + ... + 181403.

It is an arithmetic number, because the mean of its divisors is an integer number (483480090).

Almost surely, 212131300130 is an apocalyptic number.

12131300130 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 12131300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471362880).

12131300130 is an abundant number, since it is smaller than the sum of its proper divisors (18811425630).

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

12131300130 is a wasteful number, since it uses less digits than its factorization.

12131300130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88723.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12131300130 its reverse (3100313121), we get a palindrome (15231613251).

The spelling of 12131300130 in words is "twelve billion, one hundred thirty-one million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 269 510 538 807 1345 1614 2690 4035 4573 8070 9146 13719 22865 27438 45730 68595 88427 137190 176854 265281 442135 530562 884270 1326405 1503259 2652810 3006518 4509777 7516295 9019554 15032590 22548885 23786863 45097770 47573726 71360589 118934315 142721178 237868630 356802945 404376671 713605890 808753342 1213130013 2021883355 2426260026 4043766710 6065650065 12131300130