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112322111232 = 283376016577
BaseRepresentation
bin110100010011011101…
…0110110011100000000
3101201220220212110010210
41220212322312130000
53320013430024412
6123333340354120
711054306123022
oct1504672663400
9351826773123
10112322111232
11436a99a3701
1219928545940
13a790614416
14561776a012
152dc5dd583c
hex1a26eb6700

112322111232 has 144 divisors (see below), whose sum is σ = 307577702432. Its totient is φ = 36362649600.

The previous prime is 112322111171. The next prime is 112322111263. The reversal of 112322111232 is 232111223211.

112322111232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123221112322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112322111199 and 112322111208.

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, 17074728 + ... + 17081304.

Almost surely, 2112322111232 is an apocalyptic number.

112322111232 is a gapful number since it is divisible by the number (12) 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 112322111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153788851216).

112322111232 is an abundant number, since it is smaller than the sum of its proper divisors (195255591200).

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

112322111232 is an equidigital number, since it uses as much as digits as its factorization.

112322111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7220 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 112322111232 its reverse (232111223211), we get a palindrome (344433334443).

The spelling of 112322111232 in words is "one hundred twelve billion, three hundred twenty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 601 768 888 1184 1202 1776 1803 2368 2404 3552 3606 4736 4808 6577 7104 7212 9472 9616 13154 14208 14424 19232 19731 22237 26308 28416 28848 38464 39462 44474 52616 57696 66711 76928 78924 88948 105232 115392 133422 153856 157848 177896 210464 230784 243349 266844 315696 355792 420928 461568 486698 533688 631392 711584 730047 841856 973396 1067376 1262784 1423168 1460094 1683712 1946792 2134752 2525568 2846336 2920188 3893584 3952777 4269504 5051136 5692672 5840376 7787168 7905554 8539008 11680752 11858331 15574336 15811108 17078016 23361504 23716662 31148672 31622216 46723008 47433324 62297344 63244432 93446016 94866648 126488864 146252749 186892032 189733296 252977728 292505498 379466592 438758247 505955456 585010996 758933184 877516494 1011910912 1170021992 1517866368 1755032988 2340043984 3035732736 3510065976 4680087968 7020131952 9360175936 14040263904 18720351872 28080527808 37440703744 56161055616 112322111232