Search a number
-
+
212001121133 = 31431992692971
BaseRepresentation
bin1100010101110001000…
…0000110001101101101
3202021012201111210202022
43011130100012031231
511433134241334013
6241220355435525
721213404540234
oct3053420061555
9667181453668
10212001121133
1181a0011912a
12351068b5ba5
1316cb7787099
14a391d11b1b
1557abd67008
hex315c40636d

212001121133 has 32 divisors (see below), whose sum is σ = 225967104000. Its totient is φ = 198576100800.

The previous prime is 212001121121. The next prime is 212001121151. The reversal of 212001121133 is 331121100212.

It is a cyclic number.

It is not a de Polignac number, because 212001121133 - 212 = 212001117037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001121103) 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, 71355338 + ... + 71358308.

It is an arithmetic number, because the mean of its divisors is an integer number (7061472000).

Almost surely, 2212001121133 is an apocalyptic number.

It is an amenable number.

212001121133 is a deficient number, since it is larger than the sum of its proper divisors (13965982867).

212001121133 is a wasteful number, since it uses less digits than its factorization.

212001121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212001121133 its reverse (331121100212), we get a palindrome (543122221345).

The spelling of 212001121133 in words is "two hundred twelve billion, one million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 31 43 199 269 1333 2971 6169 8339 8557 11567 53531 92101 127753 265267 358577 591229 799199 1659461 2301833 3960343 18328099 24775169 25422847 34365557 71356823 159040601 788108257 1065332267 4930258631 6838745843 212001121133