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233113301223 = 31119557366713
BaseRepresentation
bin1101100100011010100…
…0101011000011100111
3211021201001210200021020
43121012220223003213
512304404001114343
6255031335022223
722561523236545
oct3310650530347
9737631720236
10233113301223
118a954421550
123921920a973
1318ca06b863a
14b3d5bc6d95
1560e5572b83
hex3646a2b0e7

233113301223 has 32 divisors (see below), whose sum is σ = 356989282560. Its totient is φ = 133818935040.

The previous prime is 233113301221. The next prime is 233113301233. The reversal of 233113301223 is 322103311332.

233113301223 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 233113301223 - 21 = 233113301221 is a prime.

It is a super-2 number, since 2×2331133012232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233113301193 and 233113301202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233113301221) 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 31 ways as a sum of consecutive naturals, for example, 3460915 + ... + 3527627.

It is an arithmetic number, because the mean of its divisors is an integer number (11155915080).

Almost surely, 2233113301223 is an apocalyptic number.

233113301223 is a deficient number, since it is larger than the sum of its proper divisors (123875981337).

233113301223 is a wasteful number, since it uses less digits than its factorization.

233113301223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72319.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233113301223 its reverse (322103311332), we get a palindrome (555216612555).

The spelling of 233113301223 in words is "two hundred thirty-three billion, one hundred thirteen million, three hundred one thousand, two hundred twenty-three".

Divisors: 1 3 11 19 33 57 209 627 5573 16719 61303 66713 105887 183909 200139 317661 733843 1164757 1267547 2201529 3494271 3802641 13943017 41829051 371791549 1115374647 4089707039 7064039431 12269121117 21192118293 77704433741 233113301223