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313221003021 = 3234802333669
BaseRepresentation
bin1001000111011010110…
…11010011011100001101
31002221110220120120100200
410203231123103130031
520112434034044041
6355520341044113
731425623411553
oct4435533233415
91087426516320
10313221003021
111109220aa583
12508550b6639
13236c8c2c714
1411234d99bd3
1582332181b6
hex48ed6d370d

313221003021 has 6 divisors (see below), whose sum is σ = 452430337710. Its totient is φ = 208814002008.

The previous prime is 313221002957. The next prime is 313221003071. The reversal of 313221003021 is 120300122313.

313221003021 is a `hidden beast` number, since 31 + 322 + 10 + 0 + 302 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159332697225 + 153888305796 = 399165^2 + 392286^2 .

It is not a de Polignac number, because 313221003021 - 26 = 313221002957 is a prime.

It is a super-2 number, since 2×3132210030212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313221002985 and 313221003003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221003071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17401166826 + ... + 17401166843.

It is an arithmetic number, because the mean of its divisors is an integer number (75405056285).

Almost surely, 2313221003021 is an apocalyptic number.

It is an amenable number.

313221003021 is a deficient number, since it is larger than the sum of its proper divisors (139209334689).

313221003021 is a wasteful number, since it uses less digits than its factorization.

313221003021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34802333675 (or 34802333672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313221003021 its reverse (120300122313), we get a palindrome (433521125334).

The spelling of 313221003021 in words is "three hundred thirteen billion, two hundred twenty-one million, three thousand, twenty-one".

Divisors: 1 3 9 34802333669 104407001007 313221003021