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13112293376 = 211721319232
BaseRepresentation
bin11000011011000110…
…11011100000000000
31020211211002112000102
430031203123200000
5203323221342001
610005041541532
7642635440400
oct141543334000
936754075012
1013112293376
1156196030a6
12265b3448a8
13130c72aba0
148c563a800
1551b233e6b
hex30d8db800

13112293376 has 432 divisors, whose sum is σ = 36141978600. Its totient is φ = 4700602368.

The previous prime is 13112293339. The next prime is 13112293379. The reversal of 13112293376 is 67339221131.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112293379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570099701 + ... + 570099723.

Almost surely, 213112293376 is an apocalyptic number.

13112293376 is a gapful number since it is divisible by the number (16) 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 13112293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070989300).

13112293376 is an abundant number, since it is smaller than the sum of its proper divisors (23029685224).

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

13112293376 is a wasteful number, since it uses less digits than its factorization.

13112293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its digits is 40824, while the sum is 38.

The spelling of 13112293376 in words is "thirteen billion, one hundred twelve million, two hundred ninety-three thousand, three hundred seventy-six".