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13212542343 = 37111337118913
BaseRepresentation
bin11000100111000011…
…10110010110000111
31021002210201200202010
430103201312112013
5204024402323333
610023022345303
7645263520420
oct142341662607
937083650663
1013212542343
115670154690
122688a2b233
13132742aac0
148d4a94647
15524e37563
hex313876587

13212542343 has 64 divisors (see below), whose sum is σ = 24292703232. Its totient is φ = 6164398080.

The previous prime is 13212542323. The next prime is 13212542353. The reversal of 13212542343 is 34324521231.

13212542343 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 13212542343 - 230 = 12138800519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13212542343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212542323) 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, 51655 + ... + 170567.

It is an arithmetic number, because the mean of its divisors is an integer number (379573488).

Almost surely, 213212542343 is an apocalyptic number.

13212542343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13212542343 is a deficient number, since it is larger than the sum of its proper divisors (11080160889).

13212542343 is a wasteful number, since it uses less digits than its factorization.

13212542343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118984.

The product of its digits is 17280, while the sum is 30.

It can be divided in two parts, 13212 and 542343, that added together give a palindrome (555555).

The spelling of 13212542343 in words is "thirteen billion, two hundred twelve million, five hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 118913 356739 832391 1308043 1545869 2497173 3924129 4399781 4637607 9156301 10821083 13199343 17004559 27468903 30798467 32463249 48397591 51013677 57197153 92395401 119031913 145192773 171591459 338783137 357095739 400380071 629168683 1016349411 1201140213 1887506049 4404180781 13212542343