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112312321220032 = 2631263281765991
BaseRepresentation
bin11001100010010111000000…
…000000101001110111000000
3112201122221201202212111012221
4121202113000000221313000
5104210111113213020112
61034511322412300424
732441204006553463
oct3142270000516700
9481587652774187
10112312321220032
113287142a39724a
121071aa69171714
134a8901121656b
141da3d340892da
15ceb77b920e07
hex6625c0029dc0

112312321220032 has 112 divisors (see below), whose sum is σ = 231755990298624. Its totient is φ = 53945305344000.

The previous prime is 112312321219999. The next prime is 112312321220107. The reversal of 112312321220032 is 230022123213211.

It is a super-2 number, since 2×1123123212200322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112312321219979 and 112312321220006.

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 15 ways as a sum of consecutive naturals, for example, 146240557 + ... + 147006547.

Almost surely, 2112312321220032 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 112312321220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115877995149312).

112312321220032 is an abundant number, since it is smaller than the sum of its proper divisors (119443669078592).

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

112312321220032 is a wasteful number, since it uses less digits than its factorization.

112312321220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766578 (or 766568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 112312321220032 its reverse (230022123213211), we get a palindrome (342334444433243).

The spelling of 112312321220032 in words is "one hundred twelve trillion, three hundred twelve billion, three hundred twenty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 263 281 496 526 562 992 1052 1124 1984 2104 2248 4208 4496 8153 8416 8711 8992 16306 16832 17422 17984 32612 34844 65224 69688 73903 130448 139376 147806 260896 278752 295612 521792 557504 591224 765991 1182448 1531982 2290993 2364896 3063964 4581986 4729792 6127928 9163972 12255856 18327944 23745721 24511712 36655888 47491442 49023424 73311776 94982884 146623552 189965768 201455633 215243471 379931536 402911266 430486942 759863072 805822532 860973884 1519726144 1611645064 1721947768 3223290128 3443895536 6245124623 6446580256 6672547601 6887791072 12490249246 12893160512 13345095202 13775582144 24980498492 26690190404 49960996984 53380380808 56609032873 99921993968 106760761616 113218065746 199843987936 213521523232 226436131492 399687975872 427043046464 452872262984 905744525968 1754880019063 1811489051936 3509760038126 3622978103872 7019520076252 14039040152504 28078080305008 56156160610016 112312321220032