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1002316941 = 32868112829
BaseRepresentation
bin111011101111100…
…010010010001101
32120212000222100200
4323233202102031
54023043120231
6243243044113
733560360553
oct7357422215
92525028320
101002316941
1147486660a
1223b810639
1312c86b962
1497191bd3
155cedcbe6
hex3bbe248d

1002316941 has 12 divisors (see below), whose sum is σ = 1448070780. Its totient is φ = 668082240.

The previous prime is 1002316927. The next prime is 1002316967. The reversal of 1002316941 is 1496132001.

It can be written as a sum of positive squares in 2 ways, for example, as 807128100 + 195188841 = 28410^2 + 13971^2 .

It is not a de Polignac number, because 1002316941 - 214 = 1002300557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002316981) 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 11 ways as a sum of consecutive naturals, for example, 71715 + ... + 84543.

It is an arithmetic number, because the mean of its divisors is an integer number (120672565).

Almost surely, 21002316941 is an apocalyptic number.

It is an amenable number.

1002316941 is a deficient number, since it is larger than the sum of its proper divisors (445753839).

1002316941 is a wasteful number, since it uses less digits than its factorization.

1002316941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21516 (or 21513 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1002316941 is about 31659.3894603165. The cubic root of 1002316941 is about 1000.7717179649.

Adding to 1002316941 its reverse (1496132001), we get a palindrome (2498448942).

The spelling of 1002316941 in words is "one billion, two million, three hundred sixteen thousand, nine hundred forty-one".

Divisors: 1 3 9 8681 12829 26043 38487 78129 115461 111368549 334105647 1002316941