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803083030201 = 2324728292
BaseRepresentation
bin10111010111110110111…
…10101000111010111001
32211202220020101220100101
423223323132220322321
5101124203223431301
61412533052235401
7112010101061164
oct13537336507271
92752806356311
10803083030201
1128a649485a41
1210b786a6bb61
135a9659125ba
142ac259c2adb
1515d53cd7701
hexbafb7a8eb9

803083030201 has 27 divisors (see below), whose sum is σ = 858795864591. Its totient is φ = 750915508464.

The previous prime is 803083030153. The next prime is 803083030261. The reversal of 803083030201 is 102030380308.

The square root of 803083030201 is 896149.

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

It can be written as a sum of positive squares in only one way, i.e., 462330642601 + 340752387600 = 679949^2 + 583740^2 .

It is a de Polignac number, because none of the positive numbers 2k-803083030201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 803083030201.

It is not an unprimeable number, because it can be changed into a prime (803083030261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 968736655 + ... + 968737483.

Almost surely, 2803083030201 is an apocalyptic number.

803083030201 is the 896149-th square number.

803083030201 is the 448075-th centered octagonal number.

It is an amenable number.

803083030201 is a deficient number, since it is larger than the sum of its proper divisors (55712834390).

803083030201 is an frugal number, since it uses more digits than its factorization.

803083030201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 803083030201 in words is "eight hundred three billion, eighty-three million, thirty thousand, two hundred one".

Divisors: 1 23 47 529 829 1081 2209 19067 24863 38963 50807 438541 687241 896149 1168561 1831261 15806543 20611427 32300327 42119003 363550489 742907521 968737069 1518115369 17086872983 34916653487 803083030201