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12131000310000 = 24354111322712457
BaseRepresentation
bin1011000010000111011111…
…1101101101100011110000
31120221201020021021100202210
42300201313331231203300
53042223242034410000
641444523221212120
72361302332201365
oct260416775554360
946851207240683
1012131000310000
113957801469710
12143b09b561040
1369cc438ac710
142dd201c7646c
1516084d9c7350
hexb0877f6d8f0

12131000310000 has 800 divisors, whose sum is σ = 46213107671808. Its totient is φ = 2702453760000.

The previous prime is 12131000309983. The next prime is 12131000310007. The reversal of 12131000310000 is 1300013121.

It is a super-2 number, since 2×121310003100002 (a number of 27 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 (12131000310007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 973823772 + ... + 973836228.

Almost surely, 212131000310000 is an apocalyptic number.

12131000310000 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 12131000310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106553835904).

12131000310000 is an abundant number, since it is smaller than the sum of its proper divisors (34082107361808).

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

12131000310000 is a wasteful number, since it uses less digits than its factorization.

12131000310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12718 counting only the distinct ones).

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

Adding to 12131000310000 its reverse (1300013121), we get a palindrome (12132300323121).

The spelling of 12131000310000 in words is "twelve trillion, one hundred thirty-one billion, three hundred ten thousand".