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112433110224 = 2435947982883
BaseRepresentation
bin110100010110110001…
…0010001110011010000
3101202012122201210010120
41220231202101303100
53320230334011344
6123352343430240
711060124445161
oct1505542216320
9352178653116
10112433110224
1143756617906
1219959755380
13a7aa6093b6
1456283c1768
152dd0a0e219
hex1a2d891cd0

112433110224 has 80 divisors (see below), whose sum is σ = 295995340800. Its totient is φ = 36765129088.

The previous prime is 112433110169. The next prime is 112433110253. The reversal of 112433110224 is 422011334211.

112433110224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112433110194 and 112433110203.

It is a congruent number.

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, 1315087 + ... + 1397969.

It is an arithmetic number, because the mean of its divisors is an integer number (3699941760).

Almost surely, 2112433110224 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 112433110224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147997670400).

112433110224 is an abundant number, since it is smaller than the sum of its proper divisors (183562230576).

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

112433110224 is a wasteful number, since it uses less digits than its factorization.

112433110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83432 (or 83426 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112433110224 its reverse (422011334211), we get a palindrome (534444444435).

The spelling of 112433110224 in words is "one hundred twelve billion, four hundred thirty-three million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 479 708 944 958 1416 1437 1916 2832 2874 3832 5748 7664 11496 22992 28261 56522 82883 84783 113044 165766 169566 226088 248649 331532 339132 452176 497298 663064 678264 994596 1326128 1356528 1989192 3978384 4890097 9780194 14670291 19560388 29340582 39120776 39700957 58681164 78241552 79401914 117362328 119102871 158803828 234724656 238205742 317607656 476411484 635215312 952822968 1905645936 2342356463 4684712926 7027069389 9369425852 14054138778 18738851704 28108277556 37477703408 56216555112 112433110224