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1002221001 = 32111357889
BaseRepresentation
bin111011101111001…
…010110111001001
32120211212002202100
4323233022313021
54023032033001
6243241024013
733556511055
oct7357126711
92524762670
101002221001
11474800521
1223b785009
1312c8370a2
1497168c65
155cebe586
hex3bbcadc9

1002221001 has 6 divisors (see below), whose sum is σ = 1447652570. Its totient is φ = 668147328.

The previous prime is 1002220991. The next prime is 1002221027. The reversal of 1002221001 is 1001222001.

It can be written as a sum of positive squares in only one way, i.e., 657153225 + 345067776 = 25635^2 + 18576^2 .

It is not a de Polignac number, because 1002221001 - 25 = 1002220969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111357889 = 1002221001 / (1 + 0 + 0 + 2 + 2 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002221071) 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 in 5 ways as a sum of consecutive naturals, for example, 55678936 + ... + 55678953.

Almost surely, 21002221001 is an apocalyptic number.

It is an amenable number.

1002221001 is a deficient number, since it is larger than the sum of its proper divisors (445431569).

1002221001 is a wasteful number, since it uses less digits than its factorization.

1002221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111357895 (or 111357892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002221001 is about 31657.8742337511. The cubic root of 1002221001 is about 1000.7397862480.

Adding to 1002221001 its reverse (1001222001), we get a palindrome (2003443002).

The spelling of 1002221001 in words is "one billion, two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 111357889 334073667 1002221001