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13203330231 = 3721337186733
BaseRepresentation
bin11000100101111101…
…01101010010110111
31021002011101200002210
430102332231102313
5204020023031411
610022053104503
7645122312100
oct142276552267
937064350083
1013203330231
115665a32473
122685928133
131325553a50
148d37773a7
15524217ca6
hex312fad4b7

13203330231 has 48 divisors (see below), whose sum is σ = 22650087264. Its totient is φ = 6776130816.

The previous prime is 13203330199. The next prime is 13203330233.

13203330231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13203330231 - 25 = 13203330199 is a prime.

It is a super-2 number, since 2×132033302312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13203330198 and 13203330207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203330233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22660 + ... + 164073.

It is an arithmetic number, because the mean of its divisors is an integer number (471876818).

Almost surely, 213203330231 is an apocalyptic number.

13203330231 is a deficient number, since it is larger than the sum of its proper divisors (9446757033).

13203330231 is a wasteful number, since it uses less digits than its factorization.

13203330231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186800 (or 186793 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The spelling of 13203330231 in words is "thirteen billion, two hundred three million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1911 3367 5439 10101 23569 70707 186733 560199 1307131 2427529 3921393 6909121 7282587 9149917 16992703 20727363 27449751 48363847 50978109 89818573 118948921 145091541 269455719 338546929 356846763 628730011 1015640787 1886190033 4401110077 13203330231