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1022032801 is a prime number
BaseRepresentation
bin111100111010101…
…111101110100001
32122020010122102201
4330322233232201
54043120022201
6245225413201
734220064316
oct7472575641
92566118381
101022032801
11484a02409
1224633a201
1313398294a
1499a44d0d
155ead4801
hex3ceafba1

1022032801 has 2 divisors, whose sum is σ = 1022032802. Its totient is φ = 1022032800.

The previous prime is 1022032799. The next prime is 1022032883. The reversal of 1022032801 is 1082302201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020866401 + 1166400 = 31951^2 + 1080^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022032801 - 21 = 1022032799 is a prime.

Together with 1022032799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1022032201) 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 as a sum of consecutive naturals, namely, 511016400 + 511016401.

It is an arithmetic number, because the mean of its divisors is an integer number (511016401).

Almost surely, 21022032801 is an apocalyptic number.

It is an amenable number.

1022032801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022032801 is an equidigital number, since it uses as much as digits as its factorization.

1022032801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1022032801 is about 31969.2477390382. The cubic root of 1022032801 is about 1007.2909794268.

The spelling of 1022032801 in words is "one billion, twenty-two million, thirty-two thousand, eight hundred one".