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112033010320 = 245711139130843
BaseRepresentation
bin110100001010110110…
…0000001001010010000
3101201011202212121020121
41220111230001022100
53313420422312240
6123244532120024
711044165606150
oct1502554011220
9351152777217
10112033010320
1143570793930
1219867766014
13a7457614aa
1455cb1d2760
152daa82b04a
hex1a15b01290

112033010320 has 160 divisors (see below), whose sum is σ = 327089064960. Its totient is φ = 34667896320.

The previous prime is 112033010303. The next prime is 112033010357. The reversal of 112033010320 is 23010330211.

It is a super-2 number, since 2×1120330103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112033010294 and 112033010303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790819 + ... + 921661.

It is an arithmetic number, because the mean of its divisors is an integer number (2044306656).

Almost surely, 2112033010320 is an apocalyptic number.

112033010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112033010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163544532480).

112033010320 is an abundant number, since it is smaller than the sum of its proper divisors (215056054640).

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

112033010320 is a wasteful number, since it uses less digits than its factorization.

112033010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131013 (or 131007 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112033010320 its reverse (23010330211), we get a palindrome (135043340531).

The spelling of 112033010320 in words is "one hundred twelve billion, thirty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 139 140 154 176 220 278 280 308 385 440 556 560 616 695 770 880 973 1112 1232 1390 1529 1540 1946 2224 2780 3058 3080 3892 4865 5560 6116 6160 7645 7784 9730 10703 11120 12232 15290 15568 19460 21406 24464 30580 38920 42812 53515 61160 77840 85624 107030 122320 130843 171248 214060 261686 428120 523372 654215 856240 915901 1046744 1308430 1439273 1831802 2093488 2616860 2878546 3663604 4579505 5233720 5757092 7196365 7327208 9159010 10074911 10467440 11514184 14392730 14654416 18187177 18318020 20149822 23028368 28785460 36374354 36636040 40299644 50374555 57570920 72748708 73272080 80599288 90935885 100749110 115141840 127310239 145497416 161198576 181871770 200058947 201498220 254620478 290994832 363743540 400117894 402996440 509240956 636551195 727487080 800235788 805992880 1000294735 1018481912 1273102390 1400412629 1454974160 1600471576 2000589470 2036963824 2546204780 2800825258 3200943152 4001178940 5092409560 5601650516 7002063145 8002357880 10184819120 11203301032 14004126290 16004715760 22406602064 28008252580 56016505160 112033010320