Search a number
-
+
2110112123 = 72931547613
BaseRepresentation
bin111110111000101…
…1100000101111011
312110001112210122212
41331301130011323
513310142041443
6545215005335
7103201441250
oct17561340573
95401483585
102110112123
11993115519
124aa80984b
1327821b772
1416035d427
15c53b3618
hex7dc5c17b

2110112123 has 32 divisors (see below), whose sum is σ = 2584104960. Its totient is φ = 1684126080.

The previous prime is 2110112111. The next prime is 2110112129. The reversal of 2110112123 is 3212110112.

It is not a de Polignac number, because 2110112123 - 224 = 2093334907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110112098 and 2110112107.

It is not an unprimeable number, because it can be changed into a prime (2110112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441965 + ... + 3442577.

It is an arithmetic number, because the mean of its divisors is an integer number (80753280).

Almost surely, 22110112123 is an apocalyptic number.

2110112123 is a deficient number, since it is larger than the sum of its proper divisors (473992837).

2110112123 is a wasteful number, since it uses less digits than its factorization.

2110112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2110112123 is about 45935.9567550301. The cubic root of 2110112123 is about 1282.6313307696.

Adding to 2110112123 its reverse (3212110112), we get a palindrome (5322222235).

The spelling of 2110112123 in words is "two billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 7 29 31 203 217 547 613 899 3829 4291 6293 15863 16957 17777 19003 111041 118699 124439 133021 335311 491753 551087 2347177 3442271 3857609 9724019 10394641 68068133 72762487 301444589 2110112123