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13112241143004 = 22341031274916301
BaseRepresentation
bin1011111011001110111001…
…1110011011110011011100
31201102111222122000100220000
42332303232132123303130
53204312332213034004
643515402545454300
72522220362516433
oct276635636336334
951374878010800
1013112241143004
1141a5963320803
1215792a7041390
1374162c590833
143348c8b1611a
1517b12d3c6c39
hexbecee79bcdc

13112241143004 has 240 divisors, whose sum is σ = 34959903154176. Its totient is φ = 4284805392000.

The previous prime is 13112241143003. The next prime is 13112241143063. The reversal of 13112241143004 is 40034114221131.

It is a happy number.

13112241143004 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 224 + 1 + 1 + 430 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112241143003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2080974654 + ... + 2080980954.

Almost surely, 213112241143004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112241143004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479951577088).

13112241143004 is an abundant number, since it is smaller than the sum of its proper divisors (21847662011172).

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

13112241143004 is a wasteful number, since it uses less digits than its factorization.

13112241143004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13112241143004 its reverse (40034114221131), we get a palindrome (53146355364135).

The spelling of 13112241143004 in words is "thirteen trillion, one hundred twelve billion, two hundred forty-one million, one hundred forty-three thousand, four".