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1312402221 = 3213291812137
BaseRepresentation
bin100111000111001…
…1010101100101101
310101110111221101200
41032032122230231
510141433332341
6334121200113
744344143354
oct11616325455
93343457350
101312402221
116138a9239
12307630039
1317bb8b080
14c642c99b
157a33edb6
hex4e39ab2d

1312402221 has 48 divisors (see below), whose sum is σ = 2124573360. Its totient is φ = 775111680.

The previous prime is 1312402199. The next prime is 1312402229. The reversal of 1312402221 is 1222042131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 686702025 + 625700196 = 26205^2 + 25014^2 .

It is not a de Polignac number, because 1312402221 - 213 = 1312394029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312402194 and 1312402203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312402229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613065 + ... + 615201.

It is an arithmetic number, because the mean of its divisors is an integer number (44261945).

Almost surely, 21312402221 is an apocalyptic number.

It is an amenable number.

1312402221 is a deficient number, since it is larger than the sum of its proper divisors (812171139).

1312402221 is a wasteful number, since it uses less digits than its factorization.

1312402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1312402221 is about 36227.0923619327. The cubic root of 1312402221 is about 1094.8525954078.

Adding to 1312402221 its reverse (1222042131), we get a palindrome (2534444352).

The spelling of 1312402221 in words is "one billion, three hundred twelve million, four hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 181 261 377 543 1131 1629 2137 2353 3393 5249 6411 7059 15747 19233 21177 27781 47241 61973 68237 83343 185919 204711 250029 386797 557757 614133 805649 1160391 2416947 3481173 5028361 7250841 11217113 15085083 33651339 45255249 100954017 145822469 437467407 1312402221