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131233340404000 = 25531947101363757
BaseRepresentation
bin11101110101101100100100…
…101000110011000100100000
3122012122210012010120101222001
4131311230210220303010200
5114200111340120412000
61143035433031053344
736433203341155522
oct3565544450630440
9565583163511861
10131233340404000
11388a682445930a
1212875a98211254
13582c3352c29a3
142459a28627a12
151028a3129246a
hex775b24a33120

131233340404000 has 384 divisors, whose sum is σ = 350065334062080. Its totient is φ = 48190394880000.

The previous prime is 131233340403959. The next prime is 131233340404043. The reversal of 131233340404000 is 404043332131.

It is a self number, because there is not a number n which added to its sum of digits gives 131233340404000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360590122 + ... + 360953878.

It is an arithmetic number, because the mean of its divisors is an integer number (911628474120).

Almost surely, 2131233340404000 is an apocalyptic number.

131233340404000 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 131233340404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032667031040).

131233340404000 is an abundant number, since it is smaller than the sum of its proper divisors (218831993658080).

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

131233340404000 is a wasteful number, since it uses less digits than its factorization.

131233340404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363949 (or 363931 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131233340404000 its reverse (404043332131), we get a palindrome (131637383736131).

The spelling of 131233340404000 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, three hundred forty million, four hundred four thousand".