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12131323101030 = 2357250924376653
BaseRepresentation
bin1011000010001000101100…
…1101000011111101100110
31120221202001202122211211010
42300202023031003331212
53042224422203213110
641445015231523050
72361313331653200
oct260421315037546
946852052584733
1012131323101030
11395795769a361
12143b16b689486
1369cc9572a123
142dd232a9d770
1516086bed9020
hexb088b343f66

12131323101030 has 192 divisors, whose sum is σ = 33954240934080. Its totient is φ = 2765874779136.

The previous prime is 12131323100993. The next prime is 12131323101031. The reversal of 12131323101030 is 3010132313121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12131323100988 and 12131323101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131323101031) 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, 1823433184 + ... + 1823439836.

It is an arithmetic number, because the mean of its divisors is an integer number (176845004865).

Almost surely, 212131323101030 is an apocalyptic number.

12131323101030 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 12131323101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977120467040).

12131323101030 is an abundant number, since it is smaller than the sum of its proper divisors (21822917833050).

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

12131323101030 is a wasteful number, since it uses less digits than its factorization.

12131323101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12131323101030 its reverse (3010132313121), we get a palindrome (15141455414151).

The spelling of 12131323101030 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred one thousand, thirty".