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112332320414314 = 272111314815412371
BaseRepresentation
bin11001100010101001101000…
…000011100001101001101010
3112201201212100112212211020021
4121202221220003201221222
5104210423043011224224
61034524431112351054
732442512422113400
oct3142515003415152
9481655315784207
10112332320414314
1132879962415990
121072290a9a548a
134a8ab7a69b530
141da4cb0201470
15cec04c57d1e4
hex662a680e1a6a

112332320414314 has 96 divisors (see below), whose sum is σ = 230431175013312. Its totient is φ = 40371950304000.

The previous prime is 112332320414267. The next prime is 112332320414423. The reversal of 112332320414314 is 413414023233211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112332320414314.

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, 18048549 + ... + 23460919.

It is an arithmetic number, because the mean of its divisors is an integer number (2400324739722).

Almost surely, 2112332320414314 is an apocalyptic number.

112332320414314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112332320414314 is an abundant number, since it is smaller than the sum of its proper divisors (118098854598998).

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

112332320414314 is a wasteful number, since it uses less digits than its factorization.

112332320414314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413892 (or 5413885 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 112332320414314 its reverse (413414023233211), we get a palindrome (525746343647525).

The spelling of 112332320414314 in words is "one hundred twelve trillion, three hundred thirty-two billion, three hundred twenty million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 1481 2002 2962 7007 10367 14014 16291 19253 20734 32582 38506 72569 114037 134771 145138 211783 228074 269542 423566 798259 943397 1482481 1596518 1886794 2964962 5412371 10377367 10824742 20754734 37886597 59536081 70360823 75773194 119072162 140721646 265206179 416752567 492525761 530412358 773969053 833505134 985051522 1547938106 2917267969 3447680327 5417783371 5834535938 6895360654 8015721451 10835566742 16031442902 37924483597 56110050157 75848967194 88172935961 104204378863 112220100314 176345871922 208408757726 392770351099 617210551727 729430652041 785540702198 1146248167493 1234421103454 1458861304082 2292496334986 4320473862089 5106014564287 8023737172451 8640947724178 10212029128574 16047474344902 56166160207157 112332320414314