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1202838313 is a prime number
BaseRepresentation
bin100011110110001…
…1101101100101001
310002211100111222011
41013230131230221
54430411311223
6315204555521
741543646145
oct10754355451
93084314864
101202838313
11567a75256
122969b2ba1
13162279361
14b5a6c225
15708eb80d
hex47b1db29

1202838313 has 2 divisors, whose sum is σ = 1202838314. Its totient is φ = 1202838312.

The previous prime is 1202838289. The next prime is 1202838317. The reversal of 1202838313 is 3138382021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1012066969 + 190771344 = 31813^2 + 13812^2 .

It is an emirp because it is prime and its reverse (3138382021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1202838313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1202838317) 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 as a sum of consecutive naturals, namely, 601419156 + 601419157.

It is an arithmetic number, because the mean of its divisors is an integer number (601419157).

Almost surely, 21202838313 is an apocalyptic number.

It is an amenable number.

1202838313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1202838313 is an equidigital number, since it uses as much as digits as its factorization.

1202838313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1202838313 is about 34681.9594746318. The cubic root of 1202838313 is about 1063.4957310580.

The spelling of 1202838313 in words is "one billion, two hundred two million, eight hundred thirty-eight thousand, three hundred thirteen".