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112032133304 = 2371331113197223
BaseRepresentation
bin110100001010110100…
…0101011000010111000
3101201011201020001012112
41220111220223002320
53313420211231204
6123244501231452
711044155264230
oct1502550530270
9351151201175
10112032133304
1143570244a23
1219867402588
13a745515250
1455cb044cc0
152daa70626e
hex1a15a2b0b8

112032133304 has 256 divisors, whose sum is σ = 271817441280. Its totient is φ = 42105692160.

The previous prime is 112032133253. The next prime is 112032133309. The reversal of 112032133304 is 403331230211.

It is a self number, because there is not a number n which added to its sum of digits gives 112032133304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112032133309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502386137 + ... + 502386359.

It is an arithmetic number, because the mean of its divisors is an integer number (1061786880).

Almost surely, 2112032133304 is an apocalyptic number.

112032133304 is a gapful number since it is divisible by the number (14) 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 112032133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135908720640).

112032133304 is an abundant number, since it is smaller than the sum of its proper divisors (159785307976).

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

112032133304 is a wasteful number, since it uses less digits than its factorization.

112032133304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 112032133304 its reverse (403331230211), we get a palindrome (515363363515).

The spelling of 112032133304 in words is "one hundred twelve billion, thirty-two million, one hundred thirty-three thousand, three hundred four".