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2048803201 is a prime number
BaseRepresentation
bin111101000011110…
…0100000110000001
312021210011222122001
41322013210012001
513143443200301
6535144544001
7101525353114
oct17207440601
95253158561
102048803201
11961550195
12492182001
13268603ab3
1415616057b
15bed02c01
hex7a1e4181

2048803201 has 2 divisors, whose sum is σ = 2048803202. Its totient is φ = 2048803200.

The previous prime is 2048803199. The next prime is 2048803213. The reversal of 2048803201 is 1023088402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2038071025 + 10732176 = 45145^2 + 3276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048803201 - 21 = 2048803199 is a prime.

Together with 2048803199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2048803201.

It is not a weakly prime, because it can be changed into another prime (2048803271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024401600 + 1024401601.

It is an arithmetic number, because the mean of its divisors is an integer number (1024401601).

Almost surely, 22048803201 is an apocalyptic number.

It is an amenable number.

2048803201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048803201 is an equidigital number, since it uses as much as digits as its factorization.

2048803201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2048803201 is about 45263.7073271733. The cubic root of 2048803201 is about 1270.0868357762.

The spelling of 2048803201 in words is "two billion, forty-eight million, eight hundred three thousand, two hundred one".