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112003332000 = 25353712710499
BaseRepresentation
bin110100001001111101…
…0110011011110100000
3101201002201000210020120
41220103322303132200
53313340323111000
6123241552040240
711043355420350
oct1502372633640
9351081023216
10112003332000
1143555a6309a
1219859833080
13a73c56ca61
1455c72a8b60
152da7e176a0
hex1a13eb37a0

112003332000 has 384 divisors, whose sum is σ = 422682624000. Its totient is φ = 25396761600.

The previous prime is 112003331939. The next prime is 112003332019. The reversal of 112003332000 is 233300211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10662751 + ... + 10673249.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736000).

Almost surely, 2112003332000 is an apocalyptic number.

112003332000 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 112003332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312000).

112003332000 is an abundant number, since it is smaller than the sum of its proper divisors (310679292000).

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

112003332000 is a wasteful number, since it uses less digits than its factorization.

112003332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 112003332000 its reverse (233300211), we get a palindrome (112236632211).

The spelling of 112003332000 in words is "one hundred twelve billion, three million, three hundred thirty-two thousand".