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213301202211 = 32671914314297
BaseRepresentation
bin1100011010100110111…
…1100000110100100011
3202101120022211202201100
43012221233200310203
511443320101432321
6241553401005443
721260542206126
oct3065157406443
9671508752640
10213301202211
1182507a712a9
123540a183883
1317163c1cc26
14a4768543bd
155836071326
hex31a9be0d23

213301202211 has 48 divisors (see below), whose sum is σ = 315140087808. Its totient is φ = 138989347200.

The previous prime is 213301202207. The next prime is 213301202243. The reversal of 213301202211 is 112202103312.

213301202211 is a `hidden beast` number, since 2 + 1 + 330 + 120 + 2 + 211 = 666.

213301202211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213301202211 - 22 = 213301202207 is a prime.

It is a super-2 number, since 2×2133012022112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213301402211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49637415 + ... + 49641711.

It is an arithmetic number, because the mean of its divisors is an integer number (6565418496).

Almost surely, 2213301202211 is an apocalyptic number.

213301202211 is a deficient number, since it is larger than the sum of its proper divisors (101838885597).

213301202211 is a wasteful number, since it uses less digits than its factorization.

213301202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213301202211 its reverse (112202103312), we get a palindrome (325503305523).

The spelling of 213301202211 in words is "two hundred thirteen billion, three hundred one million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 9 67 191 201 431 573 603 1293 1719 3879 4297 12797 12891 28877 38391 38673 82321 86631 115173 246963 259893 287899 740889 820727 863697 1852007 2462181 2591091 5515507 5556021 7386543 16546521 16668063 49639563 54988709 124084469 164966127 353733337 372253407 494898381 1061200011 1116760221 3183600033 23700133579 71100400737 213301202211