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112232022320 = 24511831536583
BaseRepresentation
bin110100010000110001…
…1001100000100110000
3101201200122100110101102
41220201203030010300
53314322344203240
6123320401423532
711052133310105
oct1504143140460
9351618313342
10112232022320
1143663061560
121990233aba8
13a777a60b82
1456097d8aac
152dbd03c815
hex1a218cc130

112232022320 has 80 divisors (see below), whose sum is σ = 288091060992. Its totient is φ = 40319911680.

The previous prime is 112232022311. The next prime is 112232022323. The reversal of 112232022320 is 23220232211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112232022292 and 112232022301.

It is not an unprimeable number, because it can be changed into a prime (112232022323) 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 15 ways as a sum of consecutive naturals, for example, 695252 + ... + 841331.

Almost surely, 2112232022320 is an apocalyptic number.

112232022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112232022320 is an abundant number, since it is smaller than the sum of its proper divisors (175859038672).

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

112232022320 is a wasteful number, since it uses less digits than its factorization.

112232022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536690 (or 1536684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112232022320 its reverse (23220232211), we get a palindrome (135452254531).

The spelling of 112232022320 in words is "one hundred twelve billion, two hundred thirty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 1536583 3073166 6146332 7682915 12292664 15365830 16902413 24585328 30731660 33804826 61463320 67609652 84512065 122926640 127536389 135219304 169024130 255072778 270438608 338048260 510145556 637681945 676096520 1020291112 1275363890 1352193040 1402900279 2040582224 2550727780 2805800558 5101455560 5611601116 7014501395 10202911120 11223202232 14029002790 22446404464 28058005580 56116011160 112232022320