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13223131213032 = 23321384793166609
BaseRepresentation
bin1100000001101100000000…
…0010011110110011101000
31201211010012202020120210200
43000123000002132303220
53213121433042304112
644042342252512200
72533224342540306
oct300330002366350
951733182216720
1013223131213032
114238997930684
121596893a7b660
1374bc222b83a0
1433a0081cd276
1517de6d6d8cdc
hexc06c009ece8

13223131213032 has 96 divisors (see below), whose sum is σ = 38568152368200. Its totient is φ = 4068583354368.

The previous prime is 13223131213009. The next prime is 13223131213063. The reversal of 13223131213032 is 23031213132231.

13223131213032 is a `hidden beast` number, since 1 + 3 + 2 + 231 + 3 + 121 + 303 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7647138499716 + 5575992713316 = 2765346^2 + 2361354^2 .

It is a super-2 number, since 2×132231312130322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13223131212987 and 13223131213005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79282944 + ... + 79449552.

Almost surely, 213223131213032 is an apocalyptic number.

13223131213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223131213032 is an abundant number, since it is smaller than the sum of its proper divisors (25345021155168).

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

13223131213032 is a wasteful number, since it uses less digits than its factorization.

13223131213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251427 (or 251420 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13223131213032 its reverse (23031213132231), we get a palindrome (36254344345263).

The spelling of 13223131213032 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty-one million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 84793 166609 169586 254379 333218 339172 499827 508758 666436 678344 763137 999654 1017516 1102309 1332872 1499481 1526274 1999308 2035032 2165917 2204618 2998962 3052548 3306927 3998616 4331834 4409236 5997924 6105096 6497751 6613854 8663668 8818472 9920781 11995848 12995502 13227708 17327336 19493253 19841562 25991004 26455416 38986506 39683124 51982008 77973012 79366248 155946024 14127276937 28254553874 42381830811 56509107748 84763661622 113018215496 127145492433 169527323244 183654600181 254290984866 339054646488 367309200362 508581969732 550963800543 734618400724 1017163939464 1101927601086 1469236801448 1652891401629 2203855202172 3305782803258 4407710404344 6611565606516 13223131213032