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1313012221 = 171016411193
BaseRepresentation
bin100111001000010…
…1111100111111101
310101111122221011021
41032100233213331
510142112342341
6334142224141
744352263653
oct11620574775
93344587137
101313012221
11614185574
12307885051
1317c042911
14c654add3
157a4109d1
hex4e42f9fd

1313012221 has 16 divisors (see below), whose sum is σ = 1407382128. Its totient is φ = 1220608000.

The previous prime is 1313012189. The next prime is 1313012231. The reversal of 1313012221 is 1222103131.

It can be written as a sum of positive squares in 8 ways, for example, as 521208900 + 791803321 = 22830^2 + 28139^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313012221 - 25 = 1313012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313012195 and 1313012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313012231) 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 15 ways as a sum of consecutive naturals, for example, 1100001 + ... + 1101193.

It is an arithmetic number, because the mean of its divisors is an integer number (87961383).

Almost surely, 21313012221 is an apocalyptic number.

It is an amenable number.

1313012221 is a deficient number, since it is larger than the sum of its proper divisors (94369907).

1313012221 is a wasteful number, since it uses less digits than its factorization.

1313012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1313012221 is about 36235.5104973008. The cubic root of 1313012221 is about 1095.0221970299.

Adding to 1313012221 its reverse (1222103131), we get a palindrome (2535115352).

The spelling of 1313012221 in words is "one billion, three hundred thirteen million, twelve thousand, two hundred twenty-one".

Divisors: 1 17 101 641 1193 1717 10897 20281 64741 120493 764713 1100597 2048381 13000121 77236013 1313012221