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13183898112 = 293271173509
BaseRepresentation
bin11000100011101001…
…00101001000000000
31021000210211102020200
430101310211020000
5204000034214422
610020120405200
7644465166510
oct142164451000
937023742220
1013183898112
115655a6a870
12267b316800
13132150bc58
148d0d59840
1552267a2ac
hex311d25200

13183898112 has 480 divisors, whose sum is σ = 48182808960. Its totient is φ = 3370844160.

The previous prime is 13183898111. The next prime is 13183898113. The reversal of 13183898112 is 21189838131.

It is an interprime number because it is at equal distance from previous prime (13183898111) and next prime (13183898113).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13183898111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25901314 + ... + 25901822.

It is an arithmetic number, because the mean of its divisors is an integer number (100380852).

Almost surely, 213183898112 is an apocalyptic number.

13183898112 is a gapful number since it is divisible by the number (12) 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 13183898112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091404480).

13183898112 is an abundant number, since it is smaller than the sum of its proper divisors (34998910848).

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

13183898112 is a wasteful number, since it uses less digits than its factorization.

13183898112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 13183898112 in words is "thirteen billion, one hundred eighty-three million, eight hundred ninety-eight thousand, one hundred twelve".