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13412533521431 = 111283990195987
BaseRepresentation
bin1100001100101101100101…
…0010111100110000010111
31202111020002112002202102202
43003023121102330300113
53224222332040141211
644305344405355115
72553011040566252
oct303133122746027
952436075082382
1013412533521431
114301250566270
121607532408a9b
13763a47b4c115
14345254a06099
15183d5658b53b
hexc32d94bcc17

13412533521431 has 16 divisors (see below), whose sum is σ = 14644890695808. Its totient is φ = 12182351148000.

The previous prime is 13412533521421. The next prime is 13412533521451.

It is a happy number.

13412533521431 is nontrivially palindromic in base 10.

13412533521431 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 13412533521431 - 238 = 13137655614487 is a prime.

It is a super-2 number, since 2×134125335214312 (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 (13412533521421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139684820 + ... + 139780806.

It is an arithmetic number, because the mean of its divisors is an integer number (915305668488).

Almost surely, 213412533521431 is an apocalyptic number.

13412533521431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13412533521431 is a deficient number, since it is larger than the sum of its proper divisors (1232357174377).

13412533521431 is a wasteful number, since it uses less digits than its factorization.

13412533521431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107182.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1341253 and 3521431, that added together give a palindrome (4862684).

The spelling of 13412533521431 in words is "thirteen trillion, four hundred twelve billion, five hundred thirty-three million, five hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 11 1283 9901 14113 95987 108911 1055857 12702983 123151321 139732813 950367287 1354664531 10454040157 1219321229221 13412533521431