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112122990 = 232571719229
BaseRepresentation
bin1101010111011…
…01110001101110
321210222102211100
412223231301232
5212200413430
615043103530
72531013120
oct653556156
9253872740
10112122990
1158321731
1231671ba6
131a2c9785
1410c69210
159c9b960
hex6aedc6e

112122990 has 288 divisors, whose sum is σ = 385145280. Its totient is φ = 22063104.

The previous prime is 112122943. The next prime is 112122991. The reversal of 112122990 is 99221211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122991) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3866296 + ... + 3866324.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2112122990 is an apocalyptic number.

112122990 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 112122990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

112122990 is an abundant number, since it is smaller than the sum of its proper divisors (273022290).

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

112122990 is a wasteful number, since it uses less digits than its factorization.

112122990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 112122990 is about 10588.8143812232. The cubic root of 112122990 is about 482.2048307874.

The spelling of 112122990 in words is "one hundred twelve million, one hundred twenty-two thousand, nine hundred ninety".