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133211211133 = 71113318351721
BaseRepresentation
bin111110000010000000…
…0011100010101111101
3110201211201101200011111
41330010000130111331
54140304032224013
6141110230322021
712424045416640
oct1740400342575
9421751350144
10133211211133
115154928a630
12219981b9311
13c73c26a270
146639b71a57
1536e9c2873d
hex1f0401c57d

133211211133 has 64 divisors (see below), whose sum is σ = 186854621184. Its totient is φ = 91606464000.

The previous prime is 133211211121. The next prime is 133211211151. The reversal of 133211211133 is 331112112331.

It is a cyclic number.

It is not a de Polignac number, because 133211211133 - 29 = 133211210621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211212133) 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 63 ways as a sum of consecutive naturals, for example, 2549713 + ... + 2601433.

It is an arithmetic number, because the mean of its divisors is an integer number (2919603456).

Almost surely, 2133211211133 is an apocalyptic number.

133211211133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133211211133 is a deficient number, since it is larger than the sum of its proper divisors (53643410051).

133211211133 is a wasteful number, since it uses less digits than its factorization.

133211211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866.

The product of its digits is 324, while the sum is 22.

Adding to 133211211133 its reverse (331112112331), we get a palindrome (464323323464).

The spelling of 133211211133 in words is "one hundred thirty-three billion, two hundred eleven million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 7 11 13 31 77 83 91 143 217 341 403 581 913 1001 1079 2387 2573 2821 4433 6391 7553 11869 18011 28303 31031 33449 51721 83083 198121 234143 362047 367939 568931 672373 1603351 2575573 3982517 4292843 4706611 7396103 11223457 17636861 20843563 30049901 47221273 51772721 55806959 123458027 133078133 145904941 229279193 330548911 390648713 613876549 931546931 1463859463 1604954351 1730015729 4297135843 10247016241 12110110103 19030173019 133211211133