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12131422413110 = 257111371113151057
BaseRepresentation
bin1011000010001001000100…
…0111111010000100110110
31120221202022200112102101022
42300202101013322010312
53042230123114204420
641445033140301142
72361315646051610
oct260422107720466
946852280472338
1012131422413110
1139579a8760a60
12143b1989a17b2
1369ccb018c780
142dd241d51db0
15160875aa4c25
hexb08911fa136

12131422413110 has 256 divisors, whose sum is σ = 29995275276288. Its totient is φ = 3410723635200.

The previous prime is 12131422413109. The next prime is 12131422413167. The reversal of 12131422413110 is 1131422413121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12131422413110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80234702 + ... + 80385758.

It is an arithmetic number, because the mean of its divisors is an integer number (117169044048).

Almost surely, 212131422413110 is an apocalyptic number.

12131422413110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131422413110 is an abundant number, since it is smaller than the sum of its proper divisors (17863852863178).

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

12131422413110 is a wasteful number, since it uses less digits than its factorization.

12131422413110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151279.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 12131422413110 its reverse (1131422413121), we get a palindrome (13262844826231).

The spelling of 12131422413110 in words is "twelve trillion, one hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred ten".