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1003223002001 = 11563412939233
BaseRepresentation
bin11101001100101001100…
…00000010101110010001
310112220111100001220001112
432212110300002232101
5112414100042031001
62044512502343105
7132323541550223
oct16462460025621
93486440056045
101003223002001
1135751225a010
1214252142aa95
13737acc2c00c
14367b04dc413
151b1696a9cbb
hexe994c02b91

1003223002001 has 16 divisors (see below), whose sum is σ = 1096662490560. Its totient is φ = 910157291520.

The previous prime is 1003223001997. The next prime is 1003223002007. The reversal of 1003223002001 is 1002003223001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1003223002001 - 22 = 1003223001997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003223002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25551281 + ... + 25590513.

It is an arithmetic number, because the mean of its divisors is an integer number (68541405660).

Almost surely, 21003223002001 is an apocalyptic number.

1003223002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003223002001 is a deficient number, since it is larger than the sum of its proper divisors (93439488559).

1003223002001 is a wasteful number, since it uses less digits than its factorization.

1003223002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43936.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003223002001 its reverse (1002003223001), we get a palindrome (2005226225002).

The spelling of 1003223002001 in words is "one trillion, three billion, two hundred twenty-three million, two thousand, one".

Divisors: 1 11 563 4129 6193 39233 45419 431563 2324627 22088179 25570897 161993057 242969969 1781923627 91202091091 1003223002001