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12131240203300 = 225217229891031579
BaseRepresentation
bin1011000010001000011001…
…0000110101010000100100
31120221201211222200012111211
42300202012100311100210
53042224234443001200
641445003111041204
72361311304230641
oct260420620652044
946851758605454
1012131240203300
11395791491a039
12143b147970204
1369cc814c3b0a
142dd225a80dc8
15160864ab1aba
hexb0886435424

12131240203300 has 432 divisors, whose sum is σ = 29556452016000. Its totient is φ = 4314959953920.

The previous prime is 12131240203207. The next prime is 12131240203307. The reversal of 12131240203300 is 330204213121.

It is not an unprimeable number, because it can be changed into a prime (12131240203307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7682861911 + ... + 7682863489.

It is an arithmetic number, because the mean of its divisors is an integer number (68417713000).

Almost surely, 212131240203300 is an apocalyptic number.

12131240203300 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 12131240203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778226008000).

12131240203300 is an abundant number, since it is smaller than the sum of its proper divisors (17425211812700).

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

12131240203300 is a wasteful number, since it uses less digits than its factorization.

12131240203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12131240203300 its reverse (330204213121), we get a palindrome (12461444416421).

The spelling of 12131240203300 in words is "twelve trillion, one hundred thirty-one billion, two hundred forty million, two hundred three thousand, three hundred".