Search a number
-
+
212122332210201 = 3741757325452313
BaseRepresentation
bin110000001110110010010100…
…010000101010010000011001
31000211001200211001100022210220
4300032302110100222100121
5210300403014021211301
62031051353143230253
762452222065056220
oct6016622420522031
91024050731308726
10212122332210201
1161652637573316
121b95a88ba48389
1391490860a7c5a
143a54ac059dcb7
15197cbc6a9a936
hexc0ec9442a419

212122332210201 has 32 divisors (see below), whose sum is σ = 331555195792128. Its totient is φ = 118100134978560.

The previous prime is 212122332210179. The next prime is 212122332210221. The reversal of 212122332210201 is 102012233221212.

It is not a de Polignac number, because 212122332210201 - 217 = 212122332079129 is a prime.

It is a super-3 number, since 3×2121223322102013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122332210221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162074380 + ... + 163377933.

It is an arithmetic number, because the mean of its divisors is an integer number (10361099868504).

Almost surely, 2212122332210201 is an apocalyptic number.

212122332210201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212122332210201 is a deficient number, since it is larger than the sum of its proper divisors (119432863581927).

212122332210201 is a wasteful number, since it uses less digits than its factorization.

212122332210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325453121.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212122332210201 its reverse (102012233221212), we get a palindrome (314134565431413).

The spelling of 212122332210201 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred ten thousand, two hundred one".

Divisors: 1 3 7 21 41 123 287 757 861 2271 5299 15897 31037 93111 217259 651777 325452313 976356939 2278166191 6834498573 13343544833 40030634499 93404813831 246367400941 280214441493 739102202823 1724571806587 5173715419761 10101063438581 30303190315743 70707444070067 212122332210201