Search a number
-
+
13312232333232 = 243788144971327
BaseRepresentation
bin1100000110110111111011…
…1000010001111110110000
31202010122012100201110122120
43001231332320101332300
53221101422434130412
644151315523034240
72542530345552120
oct301557670217660
952118170643576
1013312232333232
114272760114aa8
1215abbbb80b980
13757451b16b11
1434045b982c80
15181435baab8c
hexc1b7ee11fb0

13312232333232 has 80 divisors (see below), whose sum is σ = 39347393605632. Its totient is φ = 3799177620480.

The previous prime is 13312232333219. The next prime is 13312232333233. The reversal of 13312232333232 is 23233323221331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13312232333193 and 13312232333202.

It is not an unprimeable number, because it can be changed into a prime (13312232333233) 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, 22189648 + ... + 22781679.

Almost surely, 213312232333232 is an apocalyptic number.

13312232333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312232333232 is an abundant number, since it is smaller than the sum of its proper divisors (26035161272400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13312232333232 is a wasteful number, since it uses less digits than its factorization.

13312232333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44972226 (or 44972220 counting only the distinct ones).

The product of its digits is 69984, while the sum is 33.

Adding to 13312232333232 its reverse (23233323221331), we get a palindrome (36545555554563).

The spelling of 13312232333232 in words is "thirteen trillion, three hundred twelve billion, two hundred thirty-two million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 881 1762 2643 3524 5286 6167 7048 10572 12334 14096 18501 21144 24668 37002 42288 49336 74004 98672 148008 296016 44971327 89942654 134913981 179885308 269827962 314799289 359770616 539655924 629598578 719541232 944397867 1079311848 1259197156 1888795734 2158623696 2518394312 3777591468 5036788624 7555182936 15110365872 39619739087 79239478174 118859217261 158478956348 237718434522 277338173609 316957912696 475436869044 554676347218 633915825392 832014520827 950873738088 1109352694436 1664029041654 1901747476176 2218705388872 3328058083308 4437410777744 6656116166616 13312232333232