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133013222111 = 71117101614379
BaseRepresentation
bin111101111100000110…
…1001011001011011111
3110201022220211210021202
41323320031023023133
54134402341101421
6141034434550115
712416122506320
oct1737015131337
9421286753252
10133013222111
1151457550540
1221941a3833b
13c70a2383b3
14661b754447
1536d766a10b
hex1ef834b2df

133013222111 has 16 divisors (see below), whose sum is σ = 175589648640. Its totient is φ = 97549802880.

The previous prime is 133013222071. The next prime is 133013222117. The reversal of 133013222111 is 111222310331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133013222111 - 234 = 115833352927 is a prime.

It is a super-3 number, since 3×1330132221113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013222117) 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 15 ways as a sum of consecutive naturals, for example, 50805881 + ... + 50808498.

It is an arithmetic number, because the mean of its divisors is an integer number (10974353040).

Almost surely, 2133013222111 is an apocalyptic number.

133013222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133013222111 is a deficient number, since it is larger than the sum of its proper divisors (42576426529).

133013222111 is a wasteful number, since it uses less digits than its factorization.

133013222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101614414.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133013222111 its reverse (111222310331), we get a palindrome (244235532442).

The spelling of 133013222111 in words is "one hundred thirty-three billion, thirteen million, two hundred twenty-two thousand, one hundred eleven".

Divisors: 1 7 11 17 77 119 187 1309 101614379 711300653 1117758169 1727444443 7824307183 12092111101 19001888873 133013222111