Search a number
-
+
112123314020 = 225172331415341
BaseRepresentation
bin110100001101100010…
…0011111111101100100
3101201102001210111122002
41220123010133331210
53314112032022040
6123301515424432
711046343305224
oct1503304377544
9351361714562
10112123314020
1143607762393
1219891a55118
13a75b38b733
1455d91bc084
152db3717a15
hex1a1b11ff64

112123314020 has 48 divisors (see below), whose sum is σ = 250379661168. Its totient is φ = 42029936640.

The previous prime is 112123314001. The next prime is 112123314067. The reversal of 112123314020 is 20413321211.

It can be written as a sum of positive squares in 8 ways, for example, as 1973669476 + 110149644544 = 44426^2 + 331888^2 .

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 = 112123313983 and 112123314001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628451 + ... + 786890.

It is an arithmetic number, because the mean of its divisors is an integer number (5216242941).

Almost surely, 2112123314020 is an apocalyptic number.

112123314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112123314020 is an abundant number, since it is smaller than the sum of its proper divisors (138256347148).

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

112123314020 is a wasteful number, since it uses less digits than its factorization.

112123314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415600 (or 1415598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112123314020 its reverse (20413321211), we get a palindrome (132536635231).

The spelling of 112123314020 in words is "one hundred twelve billion, one hundred twenty-three million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 2330 3961 4660 7922 15844 19805 39610 79220 1415341 2830682 5661364 7076705 14153410 24060797 28306820 48121594 96243188 120303985 240607970 329774453 481215940 659548906 1319097812 1648872265 3297744530 5606165701 6595489060 11212331402 22424662804 28030828505 56061657010 112123314020