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133300103211 = 32115325405013
BaseRepresentation
bin111110000100101001…
…1100010100000101011
3110202001220122212011200
41330021103202200223
54140444311300321
6141123123455243
712426205116342
oct1741123424053
9422056585150
10133300103211
1151594484560
1221a01b27523
13c7547c1b22
1466478b0b59
153702936d26
hex1f094e282b

133300103211 has 24 divisors (see below), whose sum is σ = 214011837936. Its totient is φ = 79263637440.

The previous prime is 133300103179. The next prime is 133300103213. The reversal of 133300103211 is 112301003331.

It is a happy number.

133300103211 is a `hidden beast` number, since 1 + 3 + 330 + 0 + 10 + 321 + 1 = 666.

It is not a de Polignac number, because 133300103211 - 25 = 133300103179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133300103213) 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, 12697260 + ... + 12707753.

It is an arithmetic number, because the mean of its divisors is an integer number (8917159914).

Almost surely, 2133300103211 is an apocalyptic number.

133300103211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133300103211 is a deficient number, since it is larger than the sum of its proper divisors (80711734725).

133300103211 is a wasteful number, since it uses less digits than its factorization.

133300103211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25405083 (or 25405080 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133300103211 its reverse (112301003331), we get a palindrome (245601106542).

The spelling of 133300103211 in words is "one hundred thirty-three billion, three hundred million, one hundred three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 25405013 76215039 228645117 279455143 838365429 1346465689 2515096287 4039397067 12118191201 14811122579 44433367737 133300103211