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13022400000 = 293552713
BaseRepresentation
bin11000010000011001…
…00000111000000000
31020121112221110111010
430020030200320000
5203132213300000
65552111120520
7640464400521
oct141014407000
936545843433
1013022400000
115582894955
122635213140
1312c6c1563c
148b771a848
155133c8d50
hex308320e00

13022400000 has 240 divisors, whose sum is σ = 43378817328. Its totient is φ = 3471360000.

The previous prime is 13022399977. The next prime is 13022400019. The reversal of 13022400000 is 422031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4798644 + ... + 4801356.

Almost surely, 213022400000 is an apocalyptic number.

13022400000 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 13022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21689408664).

13022400000 is an abundant number, since it is smaller than the sum of its proper divisors (30356417328).

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

13022400000 is an frugal number, since it uses more digits than its factorization.

13022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 13022400000 its reverse (422031), we get a palindrome (13022822031).

The spelling of 13022400000 in words is "thirteen billion, twenty-two million, four hundred thousand".