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112433303224 = 2311232912831493
BaseRepresentation
bin110100010110110001…
…1000000111010111000
3101202012200002120212201
41220231203000322320
53320230411200344
6123352351515544
711060126210644
oct1505543007270
9352180076781
10112433303224
1143756739910
1219959828bb4
13a7aa6761b8
145628431c24
152dd0a4b4d4
hex1a2d8c0eb8

112433303224 has 128 divisors (see below), whose sum is σ = 248611161600. Its totient is φ = 47130012160.

The previous prime is 112433303179. The next prime is 112433303239. The reversal of 112433303224 is 422303334211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112433303192 and 112433303201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75306222 + ... + 75307714.

It is an arithmetic number, because the mean of its divisors is an integer number (1942274700).

Almost surely, 2112433303224 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 112433303224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124305580800).

112433303224 is an abundant number, since it is smaller than the sum of its proper divisors (136177858376).

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

112433303224 is a wasteful number, since it uses less digits than its factorization.

112433303224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 112433303224 its reverse (422303334211), we get a palindrome (534736637435).

The spelling of 112433303224 in words is "one hundred twelve billion, four hundred thirty-three million, three hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 184 232 253 319 506 638 667 1012 1276 1283 1334 1493 2024 2552 2566 2668 2986 5132 5336 5972 7337 10264 11944 14113 14674 16423 28226 29348 29509 32846 34339 37207 43297 56452 58696 59018 65692 68678 74414 86594 112904 118036 131384 137356 148828 173188 236072 274712 297656 324599 346376 377729 409277 476267 649198 755458 818554 855761 952534 995831 1298396 1510916 1637108 1711522 1905068 1915519 1991662 2596792 3021832 3274216 3423044 3810136 3831038 3983324 6846088 7662076 7966648 9413371 10954141 15324152 18826742 21070709 21908282 37653484 42141418 43816564 44056937 55550051 75306968 84282836 87633128 88113874 111100102 168565672 176227748 222200204 352455496 444400408 484626307 611050561 969252614 1222101122 1277651173 1938505228 2444202244 2555302346 3877010456 4888404488 5110604692 10221209384 14054162903 28108325806 56216651612 112433303224