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12311011231110 = 23354310726593727
BaseRepresentation
bin1011001100100110000101…
…1100111000010110000110
31121120220212112120121222000
42303021201130320112012
53103200422333343420
642103333412050130
72410304222605434
oct263114134702606
947526775517860
1012311011231110
113a1708598aaa9
121469b58903946
136b3c00878b57
14307bdb2b5d54
1516538713b690
hexb3261738586

12311011231110 has 256 divisors, whose sum is σ = 33928641331200. Its totient is φ = 3174574177152.

The previous prime is 12311011231061. The next prime is 12311011231147. The reversal of 12311011231110 is 1113211011321.

12311011231110 is a `hidden beast` number, since 1 + 2 + 311 + 0 + 11 + 231 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3303194067 + ... + 3303197793.

It is an arithmetic number, because the mean of its divisors is an integer number (132533755200).

Almost surely, 212311011231110 is an apocalyptic number.

12311011231110 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 12311011231110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964320665600).

12311011231110 is an abundant number, since it is smaller than the sum of its proper divisors (21617630100090).

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

12311011231110 is a wasteful number, since it uses less digits than its factorization.

12311011231110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12311011231110 its reverse (1113211011321), we get a palindrome (13424222242431).

The spelling of 12311011231110 in words is "twelve trillion, three hundred eleven billion, eleven million, two hundred thirty-one thousand, one hundred ten".