Search a number
-
+
20121222122211 = 374817198910823
BaseRepresentation
bin1001001001100110101100…
…10011000000101011100011
32122020120101120021100122210
410210303112103000223203
510114131230330402321
6110443321204533203
74144465433040540
oct444632623005343
978216346240583
1020121222122211
1164583a9368711
12230b7646b1203
13b2c566739932
144d7c2da11bc7
1524d5ec296b76
hex124cd64c0ae3

20121222122211 has 16 divisors (see below), whose sum is σ = 30667275201024. Its totient is φ = 11495454225024.

The previous prime is 20121222122161. The next prime is 20121222122233. The reversal of 20121222122211 is 11222122212102.

It is not a de Polignac number, because 20121222122211 - 219 = 20121221597923 is a prime.

It is a super-3 number, since 3×201212221222113 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20121222122311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99354255 + ... + 99556568.

It is an arithmetic number, because the mean of its divisors is an integer number (1916704700064).

Almost surely, 220121222122211 is an apocalyptic number.

20121222122211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121222122211 is a deficient number, since it is larger than the sum of its proper divisors (10546053078813).

20121222122211 is a wasteful number, since it uses less digits than its factorization.

20121222122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198915650.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 20121222122211 its reverse (11222122212102), we get a palindrome (31343344334313).

The spelling of 20121222122211 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 21 4817 14451 33719 101157 198910823 596732469 1392375761 4177127283 958153434391 2874460303173 6707074040737 20121222122211