Search a number
-
+
212202020121 = 37133721008021
BaseRepresentation
bin1100010110100000111…
…0011101110100011001
3202021201201112112100120
43011220032131310121
511434042204120441
6241252333423453
721221364260460
oct3055016356431
9667651475316
10212202020121
1181aa3565553
123516203ab89
131701a297620
14a3b08899d7
1557be7ec966
hex316839dd19

212202020121 has 32 divisors (see below), whose sum is σ = 357640566528. Its totient is φ = 108905575680.

The previous prime is 212202020113. The next prime is 212202020161. The reversal of 212202020121 is 121020202212.

212202020121 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 212202020121 - 23 = 212202020113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212202020121.

It is not an unprimeable number, because it can be changed into a prime (212202020161) 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 31 ways as a sum of consecutive naturals, for example, 10493910 + ... + 10514111.

It is an arithmetic number, because the mean of its divisors is an integer number (11176267704).

Almost surely, 2212202020121 is an apocalyptic number.

212202020121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212202020121 is a deficient number, since it is larger than the sum of its proper divisors (145438546407).

212202020121 is a wasteful number, since it uses less digits than its factorization.

212202020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21008081.

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

Adding to 212202020121 its reverse (121020202212), we get a palindrome (333222222333).

The spelling of 212202020121 in words is "two hundred twelve billion, two hundred two million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 21008021 63024063 147056147 273104273 441168441 777296777 819312819 1911729911 2331890331 5441077439 5735189733 10104858101 16323232317 30314574303 70734006707 212202020121