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13233033231 = 311261297101
BaseRepresentation
bin11000101001100000…
…00001000000001111
31021011020021201221220
430110300001000033
5204100124030411
610025033454423
7645632632545
oct142460010017
937136251856
1013233033231
11568077a800
122693871413
13132b7537a2
148d76a9d95
15526b33b06
hex314c0100f

13233033231 has 72 divisors (see below), whose sum is σ = 20117509776. Its totient is φ = 7729920000.

The previous prime is 13233033199. The next prime is 13233033259.

13233033231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13233033231 - 25 = 13233033199 is a prime.

It is a super-2 number, since 2×132330332312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233033431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131020081 + ... + 131020181.

It is an arithmetic number, because the mean of its divisors is an integer number (279409858).

Almost surely, 213233033231 is an apocalyptic number.

13233033231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13233033231 is a deficient number, since it is larger than the sum of its proper divisors (6884476545).

13233033231 is a wasteful number, since it uses less digits than its factorization.

13233033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 132330 and 33231, that added together give a palindrome (165561).

The spelling of 13233033231 in words is "thirteen billion, two hundred thirty-three million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 61 97 101 121 183 291 303 363 671 1067 1111 2013 3201 3333 3721 5917 6161 7381 9797 11163 11737 12221 17751 18483 22143 29391 35211 36663 40931 65087 67771 107767 122793 195261 203313 323301 360937 375821 450241 597617 715957 745481 1082811 1127463 1185437 1350723 1792851 2147871 2236443 3556311 3970307 4134031 6573787 11910921 12402093 19721361 36454637 43673377 45474341 72311657 109363911 131020131 136423023 216934971 401001007 1203003021 4411011077 13233033231