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112001100000 = 253551721961
BaseRepresentation
bin110100001001111001…
…0010010100011100000
3101201002112211101111220
41220103302102203200
53313334240200000
6123241432135040
711043330433146
oct1502362224340
9351075741456
10112001100000
1143554779169
1219858b37480
13a73bc6ab4a
1455c6c87596
152da7b261a0
hex1a13c928e0

112001100000 has 288 divisors, whose sum is σ = 389114282592. Its totient is φ = 28108800000.

The previous prime is 112001099981. The next prime is 112001100031. The reversal of 112001100000 is 1100211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5089020 + ... + 5110980.

It is an arithmetic number, because the mean of its divisors is an integer number (1351091259).

Almost surely, 2112001100000 is an apocalyptic number.

112001100000 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 112001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194557141296).

112001100000 is an abundant number, since it is smaller than the sum of its proper divisors (277113182592).

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

112001100000 is an equidigital number, since it uses as much as digits as its factorization.

112001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22016 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 112001100000 its reverse (1100211), we get a palindrome (112002200211).

The spelling of 112001100000 in words is "one hundred twelve billion, one million, one hundred thousand".