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112231132416 = 2835131071297
BaseRepresentation
bin110100010000101111…
…1110010110100000000
3101201200120200020200000
41220201133302310000
53314322132214131
6123320330400000
711052122612454
oct1504137626400
9351616606600
10112231132416
11436626039a7
1219901b90000
13a77780bac0
145609646664
152dbce13ce6
hex1a217f2d00

112231132416 has 432 divisors, whose sum is σ = 365046986304. Its totient is φ = 34183544832.

The previous prime is 112231132381. The next prime is 112231132459. The reversal of 112231132416 is 614231132211.

112231132416 is a `hidden beast` number, since 1 + 1 + 2 + 231 + 13 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112231132416.

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, 86530680 + ... + 86531976.

It is an arithmetic number, because the mean of its divisors is an integer number (845016172).

Almost surely, 2112231132416 is an apocalyptic number.

112231132416 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 112231132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182523493152).

112231132416 is an abundant number, since it is smaller than the sum of its proper divisors (252815853888).

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

112231132416 is a wasteful number, since it uses less digits than its factorization.

112231132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1422 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 112231132416 its reverse (614231132211), we get a palindrome (726462264627).

The spelling of 112231132416 in words is "one hundred twelve billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred sixteen".