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31321211311221 = 3132122950266507
BaseRepresentation
bin1110001111100100010011…
…01011001001010001110101
311002220021112001212110120120
413013302021223021101311
513101131320043424341
6150340433230522153
76411611546263236
oct707621153112165
9132807461773516
1031321211311221
119a86284274317
12361a316366359
131462767b66100
147a3d51a5308d
15394b0ae8c066
hex1c7c89ac9475

31321211311221 has 24 divisors (see below), whose sum is σ = 45257953142880. Its totient is φ = 19258908042816.

The previous prime is 31321211311219. The next prime is 31321211311261. The reversal of 31321211311221 is 12211311212313.

It is not a de Polignac number, because 31321211311221 - 21 = 31321211311219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31321211311191 and 31321211311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321211311261) 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 23 ways as a sum of consecutive naturals, for example, 24510151 + ... + 25756356.

It is an arithmetic number, because the mean of its divisors is an integer number (1885748047620).

Almost surely, 231321211311221 is an apocalyptic number.

It is an amenable number.

31321211311221 is a deficient number, since it is larger than the sum of its proper divisors (13936741831659).

31321211311221 is a wasteful number, since it uses less digits than its factorization.

31321211311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50267765 (or 50267752 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 31321211311221 its reverse (12211311212313), we get a palindrome (43532522523534).

The spelling of 31321211311221 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred eleven million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 13 39 169 507 1229 3687 15977 47931 207701 623103 50266507 150799521 653464591 1960393773 8495039683 25485119049 61777537103 185332611309 803107982339 2409323947017 10440403770407 31321211311221