Search a number
-
+
212122010020221 = 3276914872671537
BaseRepresentation
bin110000001110110010000001…
…000011100110100101111101
31000211001122222121002101020200
4300032302001003212211331
5210300401334031121341
62031051301153434113
762452211103356640
oct6016620103464575
91024048877071220
10212122010020221
1161652491713204
121b95a7bbb6b939
13914903440acb2
143a54a8d891a57
15197cba8656db6
hexc0ec810e697d

212122010020221 has 24 divisors (see below), whose sum is σ = 350676425246784. Its totient is φ = 121037160954240.

The previous prime is 212122010020199. The next prime is 212122010020231. The reversal of 212122010020221 is 122020010221212.

It is a happy number.

212122010020221 is a `hidden beast` number, since 2 + 121 + 220 + 100 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 212122010020221 - 234 = 212104830151037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212122010020194 and 212122010020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122010020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436292236 + ... + 2436379301.

It is an arithmetic number, because the mean of its divisors is an integer number (14611517718616).

Almost surely, 2212122010020221 is an apocalyptic number.

212122010020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212122010020221 is a deficient number, since it is larger than the sum of its proper divisors (138554415226563).

212122010020221 is a wasteful number, since it uses less digits than its factorization.

212122010020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872672241 (or 4872672238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122010020221 its reverse (122020010221212), we get a palindrome (334142020241433).

The spelling of 212122010020221 in words is "two hundred twelve trillion, one hundred twenty-two billion, ten million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 691 2073 4837 6219 14511 43533 4872671537 14618014611 34108700759 43854043833 102326102277 306978306831 3367016032067 10101048096201 23569112224469 30303144288603 70707336673407 212122010020221