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112320313020 = 22325858172719
BaseRepresentation
bin110100010011011001…
…1111111011010111100
3101201220210111002110100
41220212303333122330
53320013000004040
6123333234041100
711054254623306
oct1504663773274
9351823432410
10112320313020
11436a8985683
1219927a19190
13a790134aa6
14561741c976
152dc5b7cb30
hex1a26cff6bc

112320313020 has 72 divisors (see below), whose sum is σ = 340749339840. Its totient is φ = 29948181120.

The previous prime is 112320313019. The next prime is 112320313031. The reversal of 112320313020 is 20313023211.

112320313020 is a `hidden beast` number, since 1 + 12 + 320 + 31 + 302 + 0 = 666.

112320313020 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112320312984 and 112320313002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508221 + ... + 1580939.

It is an arithmetic number, because the mean of its divisors is an integer number (4732629720).

Almost surely, 2112320313020 is an apocalyptic number.

112320313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112320313020 is an abundant number, since it is smaller than the sum of its proper divisors (228429026820).

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

112320313020 is a wasteful number, since it uses less digits than its factorization.

112320313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81315 (or 81310 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112320313020 its reverse (20313023211), we get a palindrome (132633336231).

The spelling of 112320313020 in words is "one hundred twelve billion, three hundred twenty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8581 17162 25743 34324 42905 51486 72719 77229 85810 102972 128715 145438 154458 171620 218157 257430 290876 308916 363595 386145 436314 514860 654471 727190 772290 872628 1090785 1308942 1454380 1544580 2181570 2617884 3272355 4363140 6544710 13089420 624001739 1248003478 1872005217 2496006956 3120008695 3744010434 5616015651 6240017390 7488020868 9360026085 11232031302 12480034780 18720052170 22464062604 28080078255 37440104340 56160156510 112320313020