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331212211121 = 1127337497137
BaseRepresentation
bin1001101000111011100…
…10010100001110110001
31011122220202012122011102
410310131302110032301
520411310311223441
6412053511054145
732633514225401
oct4643562241661
91148822178142
10331212211121
11118514727500
1254236371355
13253053a229c
1412060578801
15893793669b
hex4d1dc943b1

331212211121 has 12 divisors (see below), whose sum is σ = 369046832196. Its totient is φ = 296977317120.

The previous prime is 331212211111. The next prime is 331212211147. The reversal of 331212211121 is 121112212133.

It can be written as a sum of positive squares in 2 ways, for example, as 63342822400 + 267869388721 = 251680^2 + 517561^2 .

It is a de Polignac number, because none of the positive numbers 2k-331212211121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331212211093 and 331212211102.

It is not an unprimeable number, because it can be changed into a prime (331212211111) 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 11 ways as a sum of consecutive naturals, for example, 18739736 + ... + 18757401.

It is an arithmetic number, because the mean of its divisors is an integer number (30753902683).

Almost surely, 2331212211121 is an apocalyptic number.

It is an amenable number.

331212211121 is a deficient number, since it is larger than the sum of its proper divisors (37834621075).

331212211121 is a wasteful number, since it uses less digits than its factorization.

331212211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37497232 (or 37497221 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 331212211121 its reverse (121112212133), we get a palindrome (452324423254).

The spelling of 331212211121 in words is "three hundred thirty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 73 121 803 8833 37497137 412468507 2737291001 4537153577 30110201011 331212211121