Search a number
-
+
13312123212231 = 343133314493533
BaseRepresentation
bin1100000110110111100001…
…1000000001000111000111
31202010121220202101112210000
43001231320120001013013
53221101212020242411
644151301024132343
72542524552211104
oct301557030010707
952117822345700
1013312123212231
114272704563858
1215abb8b1670b3
1375743532b88c
1434044b299aab
1518142b303956
hexc1b786011c7

13312123212231 has 80 divisors (see below), whose sum is σ = 20060056922400. Its totient is φ = 8797534986240.

The previous prime is 13312123212217. The next prime is 13312123212239. The reversal of 13312123212231 is 13221232121331.

13312123212231 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 212 + 3 + 212 + 231 = 666.

It is not a de Polignac number, because 13312123212231 - 27 = 13312123212103 is a prime.

It is a super-2 number, since 2×133121232122312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13312123212195 and 13312123212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312123212239) 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 79 ways as a sum of consecutive naturals, for example, 3767935741 + ... + 3767939273.

It is an arithmetic number, because the mean of its divisors is an integer number (250750711530).

Almost surely, 213312123212231 is an apocalyptic number.

13312123212231 is a deficient number, since it is larger than the sum of its proper divisors (6747933710169).

13312123212231 is a wasteful number, since it uses less digits than its factorization.

13312123212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4629 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13312123212231 its reverse (13221232121331), we get a palindrome (26533355333562).

The spelling of 13312123212231 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-three million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 313 331 449 939 993 1347 2817 2979 3533 4041 8451 8937 10599 12123 25353 26811 31797 36369 95391 103603 140537 148619 286173 310809 421611 445857 932427 1105829 1169423 1264833 1337571 1586317 2797281 3317487 3508269 3794499 4012713 4758951 8391843 9952461 10524807 11383497 12038139 14276853 29857383 31574421 42830559 46517747 89572149 94723263 128491677 139553241 366029399 418659723 496517221 525070927 1098088197 1255979169 1489551663 1575212781 3294264591 3767937507 4468654989 4725638343 9882793773 13405964967 14176915029 29648381319 40217894901 42530745087 164347200151 493041600453 1479124801359 4437374404077 13312123212231