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112233323020 = 225721310187223
BaseRepresentation
bin110100010000110100…
…0001001101000001100
3101201200201210112121111
41220201220021220030
53314323212314040
6123320445341404
711052150335200
oct1504150115014
9351621715544
10112233323020
114366386a815
1219902867864
13a7780c7c10
145609a56b00
152dbd1e7dea
hex1a21a09a0c

112233323020 has 144 divisors (see below), whose sum is σ = 298186757568. Its totient is φ = 35167910400.

The previous prime is 112233323003. The next prime is 112233323029. The reversal of 112233323020 is 20323332211.

It is a super-2 number, since 2×1122333230202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112233322982 and 112233323000.

It is not an unprimeable number, because it can be changed into a prime (112233323029) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1243129 + ... + 1330351.

It is an arithmetic number, because the mean of its divisors is an integer number (2070741372).

Almost surely, 2112233323020 is an apocalyptic number.

112233323020 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 112233323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149093378784).

112233323020 is an abundant number, since it is smaller than the sum of its proper divisors (185953434548).

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

112233323020 is a wasteful number, since it uses less digits than its factorization.

112233323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87360 (or 87351 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 112233323020 its reverse (20323332211), we get a palindrome (132556655231).

The spelling of 112233323020 in words is "one hundred twelve billion, two hundred thirty-three million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 101 130 140 182 196 202 245 260 364 404 455 490 505 637 707 910 980 1010 1274 1313 1414 1820 2020 2548 2626 2828 3185 3535 4949 5252 6370 6565 7070 9191 9898 12740 13130 14140 18382 19796 24745 26260 36764 45955 49490 64337 87223 91910 98980 128674 174446 183820 257348 321685 348892 436115 610561 643370 872230 1133899 1221122 1286740 1744460 2267798 2442244 3052805 4273927 4535596 5669495 6105610 7937293 8547854 8809523 11338990 12211220 15874586 17095708 17619046 21369635 22677980 31749172 35238092 39686465 42739270 44047615 55561051 61666661 79372930 85478540 88095230 111122102 114523799 123333322 158745860 176190460 222244204 229047598 246666644 277805255 308333305 431666627 458095196 555610510 572618995 616666610 801666593 863333254 1111221020 1145237990 1233333220 1603333186 1726666508 2158333135 2290475980 3206666372 4008332965 4316666270 5611666151 8016665930 8633332540 11223332302 16033331860 22446664604 28058330755 56116661510 112233323020