Search a number
-
+
10302223221 = 341131125557
BaseRepresentation
bin10011001100000111…
…10111001101110101
3222120222110011110000
421212003313031311
5132044332120341
64422140221513
7513204311133
oct114603671565
928528404400
1010302223221
114407377874
121bb623a899
13c824b6194
146da354753
154046aa8b6
hex2660f7375

10302223221 has 20 divisors (see below), whose sum is σ = 15525947052. Its totient is φ = 6807362688.

The previous prime is 10302223207. The next prime is 10302223229. The reversal of 10302223221 is 12232220301.

10302223221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4660110225 + 5642112996 = 68265^2 + 75114^2 .

It is not a de Polignac number, because 10302223221 - 25 = 10302223189 is a prime.

It is a super-2 number, since 2×103022232212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302223194 and 10302223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302223229) 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 19 ways as a sum of consecutive naturals, for example, 553626 + ... + 571931.

Almost surely, 210302223221 is an apocalyptic number.

It is an amenable number.

10302223221 is a deficient number, since it is larger than the sum of its proper divisors (5223723831).

10302223221 is a wasteful number, since it uses less digits than its factorization.

10302223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125682 (or 1125673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10302223221 its reverse (12232220301), we get a palindrome (22534443522).

The spelling of 10302223221 in words is "ten billion, three hundred two million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 113 339 1017 3051 9153 1125557 3376671 10130013 30390039 91170117 127187941 381563823 1144691469 3434074407 10302223221