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112445306226 = 2321117109306479
BaseRepresentation
bin110100010111001000…
…0110011010101110010
3101202020111200101220100
41220232100303111302
53320241444244401
6123353501053230
711060333222061
oct1505620632562
9352214611810
10112445306226
1143762497950
1219961857216
13a7accb9676
145629c781d8
152dd1b1cb86
hex1a2e433572

112445306226 has 96 divisors (see below), whose sum is σ = 283996627200. Its totient is φ = 31775639040.

The previous prime is 112445306221. The next prime is 112445306227. The reversal of 112445306226 is 622603544211.

112445306226 is a `hidden beast` number, since 1 + 1 + 2 + 44 + 530 + 62 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (112445306221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213655 + ... + 520133.

It is an arithmetic number, because the mean of its divisors is an integer number (2958298200).

Almost surely, 2112445306226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112445306226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141998313600).

112445306226 is an abundant number, since it is smaller than the sum of its proper divisors (171551320974).

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

112445306226 is a wasteful number, since it uses less digits than its factorization.

112445306226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306624 (or 306621 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 112445306226 in words is "one hundred twelve billion, four hundred forty-five million, three hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 109 153 187 198 218 306 327 374 561 654 981 1122 1199 1683 1853 1962 2398 3366 3597 3706 5559 7194 10791 11118 16677 20383 21582 33354 40766 61149 122298 183447 306479 366894 612958 919437 1838874 2758311 3371269 5210143 5516622 6742538 10113807 10420286 15630429 20227614 30341421 31260858 33406211 46891287 57311573 60682842 66812422 93782574 100218633 114623146 171934719 200437266 300655899 343869438 367468321 515804157 567905587 601311798 734936642 1031608314 1102404963 1135811174 1703716761 2204809926 3307214889 3407433522 5111150283 6246961457 6614429778 10222300566 12493922914 18740884371 37481768742 56222653113 112445306226