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1020202313 = 13101777001
BaseRepresentation
bin111100110011110…
…000110101001001
32122002200122110212
4330303300311021
54042132433223
6245122250505
734165401524
oct7463606511
92562618425
101020202313
11483972109
122457b6a35
13133491710
14996c9bbb
155e872278
hex3ccf0d49

1020202313 has 8 divisors (see below), whose sum is σ = 1109558856. Its totient is φ = 932400000.

The previous prime is 1020202291. The next prime is 1020202319. The reversal of 1020202313 is 3132020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 550700089 + 469502224 = 23467^2 + 21668^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020202313 - 218 = 1019940169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020202319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387188 + ... + 389813.

It is an arithmetic number, because the mean of its divisors is an integer number (138694857).

Almost surely, 21020202313 is an apocalyptic number.

1020202313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020202313 is a deficient number, since it is larger than the sum of its proper divisors (89356543).

1020202313 is a wasteful number, since it uses less digits than its factorization.

1020202313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777115.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1020202313 is about 31940.6060211762. The cubic root of 1020202313 is about 1006.6892583827.

Adding to 1020202313 its reverse (3132020201), we get a palindrome (4152222514).

The spelling of 1020202313 in words is "one billion, twenty million, two hundred two thousand, three hundred thirteen".

Divisors: 1 13 101 1313 777001 10101013 78477101 1020202313