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13233466433231 = 1110152122862401
BaseRepresentation
bin1100000010010010100000…
…0100001101111011001111
31201212002220000210011120222
43000210220010031323033
53213304114401330411
644051212012301555
72534041430501522
oct300445004157317
951762800704528
1013233466433231
114242310895580
1215988991718bb
1374cbab5856b5
1433a708a92bb9
1517e375c114db
hexc092810decf

13233466433231 has 16 divisors (see below), whose sum is σ = 14607428785056. Its totient is φ = 11888448000000.

The previous prime is 13233466433203. The next prime is 13233466433237.

13233466433231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13233466433231 is a prime.

It is a super-2 number, since 2×132334664332312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233466433237) 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 15 ways as a sum of consecutive naturals, for example, 10852370 + ... + 12010031.

It is an arithmetic number, because the mean of its divisors is an integer number (912964299066).

Almost surely, 213233466433231 is an apocalyptic number.

13233466433231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13233466433231 is a deficient number, since it is larger than the sum of its proper divisors (1373962351825).

13233466433231 is a wasteful number, since it uses less digits than its factorization.

13233466433231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22863034.

The product of its digits is 1679616, while the sum is 44.

It can be divided in two parts, 1323346 and 6433231, that added together give a palindrome (7756577).

The spelling of 13233466433231 in words is "thirteen trillion, two hundred thirty-three billion, four hundred sixty-six million, four hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 101 521 1111 5731 52621 578831 22862401 251486411 2309102501 11911310921 25400127511 131024420131 1203042403021 13233466433231