Search a number
-
+
2112012111012 = 2232933703180073
BaseRepresentation
bin11110101110111101101…
…110110100110010100100
321110220110202101122202020
4132232331232310302210
5234100400100023022
64254124525143140
7305405425511256
oct36567556646244
97426422348666
102112012111012
1174477685a761
122a13a46baab0
13124214888cbb
1474316da1cd6
1539e11a7b35c
hex1ebbdbb4ca4

2112012111012 has 48 divisors (see below), whose sum is σ = 5098139840640. Its totient is φ = 679704092928.

The previous prime is 2112012110933. The next prime is 2112012111049. The reversal of 2112012111012 is 2101112102112.

It is a happy number.

It is a super-2 number, since 2×21120121110122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112012110982 and 2112012111000.

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, 11638608 + ... + 11818680.

It is an arithmetic number, because the mean of its divisors is an integer number (106211246680).

Almost surely, 22112012111012 is an apocalyptic number.

It is an amenable number.

2112012111012 is an abundant number, since it is smaller than the sum of its proper divisors (2986127729628).

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

2112012111012 is a wasteful number, since it uses less digits than its factorization.

2112012111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213812 (or 213810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112012111012 its reverse (2101112102112), we get a palindrome (4213124213124).

The spelling of 2112012111012 in words is "two trillion, one hundred twelve billion, twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 33703 67406 101109 134812 180073 202218 360146 404436 540219 720292 977387 1080438 1954774 2160876 2932161 3909548 5222117 5864322 10444234 11728644 15666351 20888468 31332702 62665404 6069000319 12138000638 18207000957 24276001276 36414001914 72828003828 176001009251 352002018502 528003027753 704004037004 1056006055506 2112012111012