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13242401343 = 333722391499
BaseRepresentation
bin11000101010100111…
…10000001000111111
31021011212220200121000
430111103300020333
5204110023320333
610030010341343
7646105361043
oct142523601077
937155820530
1013242401343
115685a99146
122696a2a853
131330683852
148d8a28023
15527884713
hex3154f023f

13242401343 has 48 divisors (see below), whose sum is σ = 20260800000. Its totient is φ = 8548019424.

The previous prime is 13242401339. The next prime is 13242401353. The reversal of 13242401343 is 34310424231.

13242401343 is a `hidden beast` number, since 13 + 242 + 401 + 3 + 4 + 3 = 666.

13242401343 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 13242401343 - 22 = 13242401339 is a prime.

It is a super-2 number, since 2×132424013432 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242401353) 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 47 ways as a sum of consecutive naturals, for example, 8833408 + ... + 8834906.

It is an arithmetic number, because the mean of its divisors is an integer number (422100000).

Almost surely, 213242401343 is an apocalyptic number.

13242401343 is a deficient number, since it is larger than the sum of its proper divisors (7018398657).

13242401343 is a wasteful number, since it uses less digits than its factorization.

13242401343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13242401343 its reverse (34310424231), we get a palindrome (47552825574).

The spelling of 13242401343 in words is "thirteen billion, two hundred forty-two million, four hundred one thousand, three hundred forty-three".

Divisors: 1 3 9 27 37 111 239 333 717 999 1369 1499 2151 4107 4497 6453 8843 12321 13491 26529 36963 40473 55463 79587 166389 238761 327191 358261 499167 981573 1074783 1497501 2052131 2944719 3224349 6156393 8834157 9673047 13255657 18469179 39766971 55407537 119300913 357902739 490459309 1471377927 4414133781 13242401343