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10302101000313 = 3113157193564831
BaseRepresentation
bin1001010111101010010100…
…0100100001000001111001
31100110212112010120011011220
42111322211010201001321
52322242200324002223
633524415253542253
72112205444441203
oct225724504410171
940425463504156
1010302101000313
113312107491a11
1211a4748944989
1359963a335385
142788a52db773
1512ceabcb56e3
hex95ea5121079

10302101000313 has 16 divisors (see below), whose sum is σ = 13945959015936. Its totient is φ = 6763929419520.

The previous prime is 10302101000293. The next prime is 10302101000329. The reversal of 10302101000313 is 31300010120301.

It is not a de Polignac number, because 10302101000313 - 222 = 10302096806009 is a prime.

It is a super-3 number, since 3×103021010003133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10302101000292 and 10302101000301.

It is not an unprimeable number, because it can be changed into a prime (10302121000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96729193 + ... + 96835638.

It is an arithmetic number, because the mean of its divisors is an integer number (871622438496).

Almost surely, 210302101000313 is an apocalyptic number.

It is an amenable number.

10302101000313 is a deficient number, since it is larger than the sum of its proper divisors (3643858015623).

10302101000313 is a wasteful number, since it uses less digits than its factorization.

10302101000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193565104.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10302101000313 its reverse (31300010120301), we get a palindrome (41602111120614).

The spelling of 10302101000313 in words is "ten trillion, three hundred two billion, one hundred one million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 113 157 339 471 17741 53223 193564831 580694493 21872825903 30389678467 65618477709 91169035401 3434033666771 10302101000313