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102202220313 = 3319257775193
BaseRepresentation
bin101111100101110111…
…0100001111100011001
3100202210122111201121000
41133023232201330121
53133302232022223
6114541232135213
710245444352614
oct1371356417431
9322718451530
10102202220313
113a386541896
1217983397509
139839b3a89b
144d3771917b
1529d2744543
hex17cbba1f19

102202220313 has 32 divisors (see below), whose sum is σ = 160000041600. Its totient is φ = 64297525248.

The previous prime is 102202220293. The next prime is 102202220347. The reversal of 102202220313 is 313022202201.

It is not a de Polignac number, because 102202220313 - 212 = 102202216217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202220713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255756 + ... + 519437.

It is an arithmetic number, because the mean of its divisors is an integer number (5000001300).

Almost surely, 2102202220313 is an apocalyptic number.

It is an amenable number.

102202220313 is a deficient number, since it is larger than the sum of its proper divisors (57797821287).

102202220313 is a wasteful number, since it uses less digits than its factorization.

102202220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775478 (or 775472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202220313 its reverse (313022202201), we get a palindrome (415224422514).

The spelling of 102202220313 in words is "one hundred two billion, two hundred two million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 19 27 57 171 257 513 771 2313 4883 6939 14649 43947 131841 775193 2325579 6976737 14728667 20930211 44186001 132558003 199224601 397674009 597673803 1793021409 3785267419 5379064227 11355802257 34067406771 102202220313