Search a number
-
+
13142131431 = 31113412812659
BaseRepresentation
bin11000011110101010…
…10000001011100111
31020220220020110010120
430033111100023213
5203403341201211
610012025253023
7643450162662
oct141725201347
936826213116
1013142131431
115634432950
122669334173
131315977240
148c95a66d9
1551db79d06
hex30f5502e7

13142131431 has 64 divisors (see below), whose sum is σ = 21171386880. Its totient is φ = 7144704000.

The previous prime is 13142131423. The next prime is 13142131447. The reversal of 13142131431 is 13413124131.

It is a happy number.

13142131431 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 13142131431 - 23 = 13142131423 is a prime.

It is a super-2 number, since 2×131421314312 (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 (13142131411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4941180 + ... + 4943838.

It is an arithmetic number, because the mean of its divisors is an integer number (330802920).

Almost surely, 213142131431 is an apocalyptic number.

13142131431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142131431 is a deficient number, since it is larger than the sum of its proper divisors (8029255449).

13142131431 is a wasteful number, since it uses less digits than its factorization.

13142131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008.

The product of its digits is 864, while the sum is 24.

Adding to 13142131431 its reverse (13413124131), we get a palindrome (26555255562).

The spelling of 13142131431 in words is "thirteen billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 13 33 39 41 123 143 281 429 451 533 843 1353 1599 2659 3091 3653 5863 7977 9273 10959 11521 17589 29249 34563 34567 40183 87747 103701 109019 120549 126731 149773 327057 380193 380237 449319 747179 1140711 1199209 1417247 1647503 2241537 3597627 4251741 4942509 8218969 9713327 15589717 24656907 29139981 30634339 46769151 91903017 106846597 320539791 336977729 398246407 1010933187 1194739221 4380710477 13142131431