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12131010300 = 22352294171479
BaseRepresentation
bin10110100110001000…
…01000011011111100
31011022102122011200210
423103010020123330
5144321014312200
65323425352420
7606421612653
oct132304103374
934272564623
1012131010300
115165703652
122426798710
1311b4345106
148311a219a
154aeeed650
hex2d31086fc

12131010300 has 288 divisors, whose sum is σ = 37797580800. Its totient is φ = 2998016000.

The previous prime is 12131010289. The next prime is 12131010301. The reversal of 12131010300 is 301013121.

It is a super-2 number, since 2×121310103002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131010301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25325461 + ... + 25325939.

It is an arithmetic number, because the mean of its divisors is an integer number (131241600).

Almost surely, 212131010300 is an apocalyptic number.

12131010300 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 12131010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

12131010300 is an abundant number, since it is smaller than the sum of its proper divisors (25666570500).

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

12131010300 is a wasteful number, since it uses less digits than its factorization.

12131010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

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

Adding to 12131010300 its reverse (301013121), we get a palindrome (12432023421).

The spelling of 12131010300 in words is "twelve billion, one hundred thirty-one million, ten thousand, three hundred".