Search a number
-
+
212411114212 = 22119767494269
BaseRepresentation
bin1100010111010010110…
…0000110001011100100
3202022021021222121112011
43011310230012023210
511440004221123322
6241325203204004
721226513452313
oct3056454061344
9668237877464
10212411114212
11820a0599a90
1235200076604
13170516b703b
14a3d055827a
1557d2d51677
hex3174b062e4

212411114212 has 24 divisors (see below), whose sum is σ = 405554466240. Its totient is φ = 96540425760.

The previous prime is 212411114207. The next prime is 212411114231.

212411114212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 182614 + ... + 676882.

It is an arithmetic number, because the mean of its divisors is an integer number (16898102760).

Almost surely, 2212411114212 is an apocalyptic number.

212411114212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212411114212 is a deficient number, since it is larger than the sum of its proper divisors (193143352028).

212411114212 is a wasteful number, since it uses less digits than its factorization.

212411114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504051 (or 504049 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 212411 and 114212, that added together give a palindrome (326623).

The spelling of 212411114212 in words is "two hundred twelve billion, four hundred eleven million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 9767 19534 39068 107437 214874 429748 494269 988538 1977076 5436959 10873918 21747836 4827525323 9655050646 19310101292 53102778553 106205557106 212411114212