Search a number
-
+
2113210123112 = 231122183068309
BaseRepresentation
bin11110110000000101001…
…000111000001101101000
321111000120020122222101202
4132300011020320031220
5234110323242414422
64254443442503332
7305450213450024
oct36600510701550
97430506588352
102113210123112
11745231028a00
122a1679964b48
13124375b356ba
14743cc135384
1539e81d22b92
hex1ec05238368

2113210123112 has 24 divisors (see below), whose sum is σ = 4355221278450. Its totient is φ = 960550055520.

The previous prime is 2113210123103. The next prime is 2113210123121.

2113210123112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2113210123103) and next prime (2113210123121).

It can be written as a sum of positive squares in only one way, i.e., 2042195334916 + 71014788196 = 1429054^2 + 266486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091533187 + ... + 1091535122.

Almost surely, 22113210123112 is an apocalyptic number.

2113210123112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2113210123112 is an abundant number, since it is smaller than the sum of its proper divisors (2242011155338).

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

2113210123112 is a wasteful number, since it uses less digits than its factorization.

2113210123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183068337 (or 2183068322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2113210 and 123112, that added together give a palindrome (2236322).

The spelling of 2113210123112 in words is "two trillion, one hundred thirteen billion, two hundred ten million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 2183068309 4366136618 8732273236 17464546472 24013751399 48027502798 96055005596 192110011192 264151265389 528302530778 1056605061556 2113210123112