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212333312121 = 37291013452069
BaseRepresentation
bin1100010111000000001…
…1010011100001111001
3202022001212120212010020
43011300003103201321
511434324311441441
6241313343441053
721224550242130
oct3056003234171
9668055525106
10212333312121
118206068a137
1235199bb6189
131703b5461b8
14a3c40a4917
1557cb0d3e66
hex31700d3879

212333312121 has 32 divisors (see below), whose sum is σ = 338026694400. Its totient is φ = 115989484800.

The previous prime is 212333312119. The next prime is 212333312131. The reversal of 212333312121 is 121213333212.

It is not a de Polignac number, because 212333312121 - 21 = 212333312119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212333312091 and 212333312100.

It is not an unprimeable number, because it can be changed into a prime (212333312131) 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 31 ways as a sum of consecutive naturals, for example, 1664526 + ... + 1787543.

It is an arithmetic number, because the mean of its divisors is an integer number (10563334200).

Almost surely, 2212333312121 is an apocalyptic number.

212333312121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212333312121 is a deficient number, since it is larger than the sum of its proper divisors (125693382279).

212333312121 is a wasteful number, since it uses less digits than its factorization.

212333312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452209.

The product of its digits is 1296, while the sum is 24.

Adding to 212333312121 its reverse (121213333212), we get a palindrome (333546645333).

The spelling of 212333312121 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 87 101 203 303 609 707 2121 2929 8787 20503 61509 3452069 10356207 24164483 72493449 100110001 300330003 348658969 700770007 1045976907 2102310021 2440612783 7321838349 10111110101 30333330303 70777770707 212333312121