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112200131010 = 235112476110781
BaseRepresentation
bin110100001111110100…
…1100010000111000010
3101201121102100012201210
41220133221202013002
53314241213143020
6123313302110550
711051265243402
oct1503751420702
9351542305653
10112200131010
114364705a100
12198b371b456
13a771276086
145605496802
152dba33d3e0
hex1a1fa621c2

112200131010 has 192 divisors, whose sum is σ = 307267333632. Its totient is φ = 26182464000.

The previous prime is 112200131003. The next prime is 112200131063. The reversal of 112200131010 is 10131002211.

It is a super-2 number, since 2×1122001310102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10401820 + ... + 10412600.

It is an arithmetic number, because the mean of its divisors is an integer number (1600350696).

Almost surely, 2112200131010 is an apocalyptic number.

112200131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633666816).

112200131010 is an abundant number, since it is smaller than the sum of its proper divisors (195067202622).

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

112200131010 is a wasteful number, since it uses less digits than its factorization.

112200131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112200131010 its reverse (10131002211), we get a palindrome (122331133221).

The spelling of 112200131010 in words is "one hundred twelve billion, two hundred million, one hundred thirty-one thousand, ten".