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112113100304 = 24293719733149
BaseRepresentation
bin110100001101001110…
…1100010011000010000
3101201101100120121001022
41220122131202120100
53314101423202204
6123300512455012
711046160425512
oct1503235423020
9351340517038
10112113100304
1143601a166a7
121988a54a468
13a75922380a
1455d7abdbb2
152db289b5be
hex1a1a762610

112113100304 has 80 divisors (see below), whose sum is σ = 231961158000. Its totient is φ = 52391872512.

The previous prime is 112113100289. The next prime is 112113100343. The reversal of 112113100304 is 403001311211.

It can be written as a sum of positive squares in 8 ways, for example, as 71652582400 + 40460517904 = 267680^2 + 201148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3365522 + ... + 3398670.

It is an arithmetic number, because the mean of its divisors is an integer number (2899514475).

Almost surely, 2112113100304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115980579000).

112113100304 is an abundant number, since it is smaller than the sum of its proper divisors (119848057696).

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

112113100304 is a wasteful number, since it uses less digits than its factorization.

112113100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33420 (or 33414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112113100304 its reverse (403001311211), we get a palindrome (515114411515).

The spelling of 112113100304 in words is "one hundred twelve billion, one hundred thirteen million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 197 232 296 394 464 592 788 1073 1576 2146 3152 4292 5713 7289 8584 11426 14578 17168 22852 29156 33149 45704 58312 66298 91408 116624 132596 211381 265192 422762 530384 845524 961321 1226513 1691048 1922642 2453026 3382096 3845284 4906052 6530353 7690568 9812104 13060706 15381136 19624208 26121412 35568877 52242824 71137754 104485648 142275508 189380237 241623061 284551016 378760474 483246122 569102032 757520948 966492244 1515041896 1932984488 3030083792 3865968976 7007068769 14014137538 28028275076 56056550152 112113100304