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803031313301 = 7297168952517
BaseRepresentation
bin10111010111110000110…
…01010110101110010101
32211202202122002102002122
423223320121112232111
5101124102004011201
61412524003545325
7112005602353100
oct13537031265625
92752678072078
10803031313301
1128a6222722a8
1210b77168b245
135a957ca5899
142ac1cb9d737
1515d4e4bde1b
hexbaf8656b95

803031313301 has 12 divisors (see below), whose sum is σ = 943768765548. Its totient is φ = 681216544512.

The previous prime is 803031313291. The next prime is 803031313349. The reversal of 803031313301 is 103313130308.

It can be written as a sum of positive squares in 2 ways, for example, as 235879234276 + 567152079025 = 485674^2 + 753095^2 .

It is not a de Polignac number, because 803031313301 - 26 = 803031313237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803031313391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84471506 + ... + 84481011.

It is an arithmetic number, because the mean of its divisors is an integer number (78647397129).

Almost surely, 2803031313301 is an apocalyptic number.

It is an amenable number.

803031313301 is a deficient number, since it is larger than the sum of its proper divisors (140737452247).

803031313301 is a wasteful number, since it uses less digits than its factorization.

803031313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168952628 (or 168952621 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 803031313301 its reverse (103313130308), we get a palindrome (906344443609).

The spelling of 803031313301 in words is "eight hundred three billion, thirty-one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 7 49 97 679 4753 168952517 1182667619 8278673333 16388394149 114718759043 803031313301