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12131301000 = 23353713371201
BaseRepresentation
bin10110100110001010…
…01111011010001000
31011022110011221110110
423103011033122020
5144321103113000
65323435514320
7606424233330
oct132305173210
934273157413
1012131301000
115165891aa5
1224268b89a0
1311b4417520
1483123a0c0
154b0059850
hex2d314f688

12131301000 has 512 divisors, whose sum is σ = 47883064320. Its totient is φ = 2488320000.

The previous prime is 12131300983. The next prime is 12131301001. The reversal of 12131301000 is 10313121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12131301001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10100400 + ... + 10101600.

It is an arithmetic number, because the mean of its divisors is an integer number (93521610).

Almost surely, 212131301000 is an apocalyptic number.

12131301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941532160).

12131301000 is an abundant number, since it is smaller than the sum of its proper divisors (35751763320).

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

12131301000 is a wasteful number, since it uses less digits than its factorization.

12131301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12131301000 its reverse (10313121), we get a palindrome (12141614121).

The spelling of 12131301000 in words is "twelve billion, one hundred thirty-one million, three hundred one thousand".