Search a number
-
+
212112120021 = 3211382187697
BaseRepresentation
bin1100010110001011011…
…1100001100011010101
3202021111110101010121020
43011202313201203111
511433401200320041
6241235402511353
721216223162164
oct3054267414325
9667443333536
10212112120021
1181a5784224a
1235137b05559
131700477bcb9
14a3a29673db
1557b6990866
hex3162de18d5

212112120021 has 16 divisors (see below), whose sum is σ = 284234129088. Its totient is φ = 140699462400.

The previous prime is 212112119969. The next prime is 212112120041. The reversal of 212112120021 is 120021211212.

212112120021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212112120021 - 213 = 212112111829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112120041) 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 15 ways as a sum of consecutive naturals, for example, 2374845 + ... + 2462541.

It is an arithmetic number, because the mean of its divisors is an integer number (17764633068).

Almost surely, 2212112120021 is an apocalyptic number.

It is an amenable number.

212112120021 is a deficient number, since it is larger than the sum of its proper divisors (72122009067).

212112120021 is a wasteful number, since it uses less digits than its factorization.

212112120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91732.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212112120021 its reverse (120021211212), we get a palindrome (332133331233).

The spelling of 212112120021 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 211 633 3821 11463 87697 263091 806231 2418693 18504067 55512201 335090237 1005270711 70704040007 212112120021