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112121383296 = 273131722331109
BaseRepresentation
bin110100001101011110…
…1001000100110000000
3101201101221011102011210
41220122331020212000
53314111033231141
6123301410210120
711046321014256
oct1503275104600
9351357142153
10112121383296
114360666384a
1219891283940
13a75ab639b0
1455d8c385d6
152db3485916
hex1a1af48980

112121383296 has 768 divisors, whose sum is σ = 370356940800. Its totient is φ = 29780213760.

The previous prime is 112121383289. The next prime is 112121383301. The reversal of 112121383296 is 692383121211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1028636490 + ... + 1028636598.

It is an arithmetic number, because the mean of its divisors is an integer number (482235600).

Almost surely, 2112121383296 is an apocalyptic number.

112121383296 is a gapful number since it is divisible by the number (16) 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 112121383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185178470400).

112121383296 is an abundant number, since it is smaller than the sum of its proper divisors (258235557504).

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

112121383296 is a wasteful number, since it uses less digits than its factorization.

112121383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 112121383296 in words is "one hundred twelve billion, one hundred twenty-one million, three hundred eighty-three thousand, two hundred ninety-six".