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331211121013332 = 223271976671725103
BaseRepresentation
bin100101101001111000001100…
…1001101101011001001010100
31121102201110210111111110122100
41023103300121031223021110
5321403030333434411312
63132232142150002100
7126523133225006610
oct11323603115531124
91542643714443570
10331211121013332
119659693617957a
1231192b26346330
13112a70c8146611
145bb09bd2bc340
1528458648185dc
hex12d3c1936b254

331211121013332 has 72 divisors (see below), whose sum is σ = 961689143390976. Its totient is φ = 94151384639424.

The previous prime is 331211121013313. The next prime is 331211121013349. The reversal of 331211121013332 is 233310121112133.

331211121013332 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 111 + 210 + 1 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331211121013296 and 331211121013305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3335812908 + ... + 3335912195.

It is an arithmetic number, because the mean of its divisors is an integer number (13356793658208).

Almost surely, 2331211121013332 is an apocalyptic number.

It is an amenable number.

331211121013332 is an abundant number, since it is smaller than the sum of its proper divisors (630478022377644).

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

331211121013332 is a wasteful number, since it uses less digits than its factorization.

331211121013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671725317 (or 6671725312 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 331211121013332 its reverse (233310121112133), we get a palindrome (564521242125465).

The spelling of 331211121013332 in words is "three hundred thirty-one trillion, two hundred eleven billion, one hundred twenty-one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 394 591 788 1182 1379 1773 2364 2758 3546 4137 5516 7092 8274 12411 16548 24822 49644 6671725103 13343450206 20015175309 26686900412 40030350618 46702075721 60045525927 80060701236 93404151442 120091051854 140106227163 186808302884 240182103708 280212454326 420318681489 560424908652 840637362978 1314329845291 1681274725956 2628659690582 3942989535873 5257319381164 7885979071746 9200308917037 11828968607619 15771958143492 18400617834074 23657937215238 27600926751111 36801235668148 47315874430476 55201853502222 82802780253333 110403707004444 165605560506666 331211121013332