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803065107321 = 34995712
BaseRepresentation
bin10111010111110100110…
…10010001001101111001
32211202211222200022210000
423223322122101031321
5101124134131413241
61412531212143213
7112006462532661
oct13537232211571
92752758608700
10803065107321
1128a63a354244
1210b780a67b09
135a961ca8749
142ac234791a1
1515d52446eb6
hexbafa691379

803065107321 has 15 divisors (see below), whose sum is σ = 1199652517173. Its totient is φ = 535371361380.

The previous prime is 803065107311. The next prime is 803065107323. The reversal of 803065107321 is 123701560308.

The square root of 803065107321 is 896139.

It is a perfect power (a square), and thus also a powerful number.

803065107321 is a `hidden beast` number, since 80 + 30 + 6 + 510 + 7 + 32 + 1 = 666.

It is not a de Polignac number, because 803065107321 - 211 = 803065105273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (803065107323) 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 14 ways as a sum of consecutive naturals, for example, 8015466 + ... + 8115036.

Almost surely, 2803065107321 is an apocalyptic number.

803065107321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

803065107321 is the 896139-th square number.

803065107321 is the 448070-th centered octagonal number.

It is an amenable number.

803065107321 is a deficient number, since it is larger than the sum of its proper divisors (396587409852).

803065107321 is an frugal number, since it uses more digits than its factorization.

803065107321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199154 (or 99574 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 803065107321 by its sum of digits (36), we get a square (28910343863556 = 53768342).

Adding to 803065107321 its reverse (123701560308), we get a palindrome (926766667629).

The spelling of 803065107321 in words is "eight hundred three billion, sixty-five million, one hundred seven thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 99571 298713 896139 2688417 8065251 9914384041 29743152123 89229456369 267688369107 803065107321