Search a number
-
+
33040103211 = 32173112754851
BaseRepresentation
bin11110110001010101…
…111111011100101011
310011021121210010222100
4132301111333130223
51020131231300321
623102312024443
72246523146343
oct366125773453
9104247703870
1033040103211
1113015305625
1264a1092123
13316717b13b
1418560cdd23
15cd5990326
hex7b157f72b

33040103211 has 48 divisors (see below), whose sum is σ = 52573667328. Its totient is φ = 19903968000.

The previous prime is 33040103209. The next prime is 33040103249. The reversal of 33040103211 is 11230104033.

33040103211 is a `hidden beast` number, since 330 + 4 + 0 + 10 + 321 + 1 = 666.

It is not a de Polignac number, because 33040103211 - 21 = 33040103209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33040103251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574936 + ... + 629786.

It is an arithmetic number, because the mean of its divisors is an integer number (1095284736).

Almost surely, 233040103211 is an apocalyptic number.

33040103211 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

33040103211 is a deficient number, since it is larger than the sum of its proper divisors (19533564117).

33040103211 is a wasteful number, since it uses less digits than its factorization.

33040103211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55032 (or 55029 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33040103211 its reverse (11230104033), we get a palindrome (44270207244).

The spelling of 33040103211 in words is "thirty-three billion, forty million, one hundred three thousand, two hundred eleven".

Divisors: 1 3 9 17 31 51 93 127 153 279 381 527 1143 1581 2159 3937 4743 6477 11811 19431 35433 54851 66929 164553 200787 493659 602361 932467 1700381 2797401 5101143 6966077 8392203 15303429 20898231 28906477 62694693 86719431 118423309 215948387 260158293 355269927 647845161 1065809781 1943535483 3671122579 11013367737 33040103211