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112123202220 = 223251274904777
BaseRepresentation
bin110100001101100010…
…0000100101010101100
3101201102001120211021100
41220123010010222230
53314112014432340
6123301513203100
711046342331251
oct1503304045254
9351361524240
10112123202220
1143607696397
1219891a00490
13a75b34c893
1455d918d428
152db36e4830
hex1a1b104aac

112123202220 has 72 divisors (see below), whose sum is σ = 342785124864. Its totient is φ = 29664085248.

The previous prime is 112123202207. The next prime is 112123202327. The reversal of 112123202220 is 22202321211.

112123202220 is a `hidden beast` number, since 1 + 121 + 2 + 320 + 2 + 220 = 666.

It is a super-2 number, since 2×1121232022202 (a number of 23 digits) contains 22 as substring.

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 = 112123202193 and 112123202202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429529 + ... + 2475248.

It is an arithmetic number, because the mean of its divisors is an integer number (4760904512).

Almost surely, 2112123202220 is an apocalyptic number.

112123202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112123202220 is an abundant number, since it is smaller than the sum of its proper divisors (230661922644).

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

112123202220 is a wasteful number, since it uses less digits than its factorization.

112123202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904919 (or 4904914 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112123202220 its reverse (22202321211), we get a palindrome (134325523431).

The spelling of 112123202220 in words is "one hundred twelve billion, one hundred twenty-three million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 4904777 9809554 14714331 19619108 24523885 29428662 44142993 49047770 58857324 73571655 88285986 98095540 147143310 176571972 220714965 294286620 441429930 622906679 882859860 1245813358 1868720037 2491626716 3114533395 3737440074 5606160111 6229066790 7474880148 9343600185 11212320222 12458133580 18687200370 22424640444 28030800555 37374400740 56061601110 112123202220