Search a number
-
+
2121122222131 = 11954792019599
BaseRepresentation
bin11110110111011100101…
…111001001000000110011
321111202222122200020211011
4132313130233021000303
5234223024242102011
64302232522331351
7306150246256063
oct36673457110063
97452878606734
102121122222131
11748621219010
122a3107659b57
131250370b00b3
147493cc7b3a3
153a296758621
hex1eddcbc9033

2121122222131 has 8 divisors (see below), whose sum is σ = 2313976896000. Its totient is φ = 1928271778440.

The previous prime is 2121122222111. The next prime is 2121122222171. The reversal of 2121122222131 is 1312222211212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121122222131 - 27 = 2121122222003 is a prime.

It is a super-2 number, since 2×21211222221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121122222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40470 + ... + 2060068.

It is an arithmetic number, because the mean of its divisors is an integer number (289247112000).

Almost surely, 22121122222131 is an apocalyptic number.

2121122222131 is a deficient number, since it is larger than the sum of its proper divisors (192854673869).

2121122222131 is a wasteful number, since it uses less digits than its factorization.

2121122222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115089.

The product of its digits is 384, while the sum is 22.

Adding to 2121122222131 its reverse (1312222211212), we get a palindrome (3433344433343).

The spelling of 2121122222131 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 95479 1050269 2019599 22215589 192829292921 2121122222131