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331120111101221 = 13316075407250343
BaseRepresentation
bin100101101001001101110100…
…0100110011010010100100101
31121102101202212212021220112202
41023102123220212122110211
5321400032441420214341
63132122251251424245
7126513432013350101
oct11322335046322445
91542352785256482
10331120111101221
1196561283484582
12311793672b5085
131129b653026610
145baa428212901
1528432d999d79b
hex12d26e899a525

331120111101221 has 32 divisors (see below), whose sum is σ = 368769898119168. Its totient is φ = 295246585552320.

The previous prime is 331120111101209. The next prime is 331120111101271. The reversal of 331120111101221 is 122101111021133.

It is a cyclic number.

It is not a de Polignac number, because 331120111101221 - 246 = 260751366923557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331120111101193 and 331120111101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331120111101271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1322540576 + ... + 1322790918.

It is an arithmetic number, because the mean of its divisors is an integer number (11524059316224).

Almost surely, 2331120111101221 is an apocalyptic number.

331120111101221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

331120111101221 is a deficient number, since it is larger than the sum of its proper divisors (37649787017947).

331120111101221 is a wasteful number, since it uses less digits than its factorization.

331120111101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256401.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 331120111101221 its reverse (122101111021133), we get a palindrome (453221222122354).

The spelling of 331120111101221 in words is "three hundred thirty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 13 31 403 607 5407 7891 18817 70291 167617 244621 250343 2179021 3254459 3282049 7760633 42666637 100888229 101743519 151958201 1322665747 1353604601 1975456613 4710704231 17596859813 41961742631 61239155003 545502654203 821637992807 10681293906491 25470777777017 331120111101221