Search a number
-
+
212401101 = 31121374271
BaseRepresentation
bin11001010100011…
…11101111001101
3112210200002112110
430222033233031
5413333313401
633024254233
75156244123
oct1452175715
9483602473
10212401101
11a9993100
125b171379
1335009a33
14202cd913
15139a89d6
hexca8fbcd

212401101 has 24 divisors (see below), whose sum is σ = 313633152. Its totient is φ = 127758400.

The previous prime is 212401097. The next prime is 212401103. The reversal of 212401101 is 101104212.

It is a happy number.

It is not a de Polignac number, because 212401101 - 22 = 212401097 is a prime.

It is a super-2 number, since 2×2124011012 = 90228455412024402, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212401103) 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 23 ways as a sum of consecutive naturals, for example, 47596 + ... + 51866.

It is an arithmetic number, because the mean of its divisors is an integer number (13068048).

Almost surely, 2212401101 is an apocalyptic number.

It is an amenable number.

212401101 is a deficient number, since it is larger than the sum of its proper divisors (101232051).

212401101 is a wasteful number, since it uses less digits than its factorization.

212401101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212401101 is about 14573.9871346176. The cubic root of 212401101 is about 596.6490056811.

Adding to 212401101 its reverse (101104212), we get a palindrome (313505313).

The spelling of 212401101 in words is "two hundred twelve million, four hundred one thousand, one hundred one".

Divisors: 1 3 11 33 121 137 363 411 1507 4271 4521 12813 16577 46981 49731 140943 516791 585127 1550373 1755381 6436397 19309191 70800367 212401101