Search a number
-
+
212212202001 = 3673105107579
BaseRepresentation
bin1100010110100011010…
…1010011101000010001
3202021202102200211021020
43011220311103220101
511434102310431001
6241253335550053
721221546645322
oct3055065235021
9667672624236
10212212202001
1181aa928a328
123516552b329
131701c420bc7
14a3b1d7a449
1557c065e736
hex3168d53a11

212212202001 has 8 divisors (see below), whose sum is σ = 283370035680. Its totient is φ = 141264584832.

The previous prime is 212212201987. The next prime is 212212202009. The reversal of 212212202001 is 100202212212.

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

It is not a de Polignac number, because 212212202001 - 25 = 212212201969 is a prime.

It is a super-3 number, since 3×2122122020013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212212202009) by changing a digit.

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, 52551771 + ... + 52555808.

It is an arithmetic number, because the mean of its divisors is an integer number (35421254460).

Almost surely, 2212212202001 is an apocalyptic number.

It is an amenable number.

212212202001 is a deficient number, since it is larger than the sum of its proper divisors (71157833679).

212212202001 is a wasteful number, since it uses less digits than its factorization.

212212202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105108255.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212212202001 its reverse (100202212212), we get a palindrome (312414414213).

It can be divided in two parts, 21221 and 2202001, that added together give a palindrome (2223222).

The spelling of 212212202001 in words is "two hundred twelve billion, two hundred twelve million, two hundred two thousand, one".

Divisors: 1 3 673 2019 105107579 315322737 70737400667 212212202001