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1002021019873 is a prime number
BaseRepresentation
bin11101001010011010001…
…10110110000011100001
310112210101120022212112221
432211031012312003201
5112404114340113443
62044153323551041
7132252005065156
oct16451506660341
93483346285487
101002021019873
11356a5581a055
1214224698b481
137364abc25a3
14366d8a1422d
151b0e8dcbeed
hexe94d1b60e1

1002021019873 has 2 divisors, whose sum is σ = 1002021019874. Its totient is φ = 1002021019872.

The previous prime is 1002021019871. The next prime is 1002021019939. The reversal of 1002021019873 is 3789101202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 979084523169 + 22936496704 = 989487^2 + 151448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002021019873 - 21 = 1002021019871 is a prime.

It is a super-2 number, since 2×10020210198732 (a number of 25 digits) contains 22 as substring.

Together with 1002021019871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1002021019871) 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, 501010509936 + 501010509937.

It is an arithmetic number, because the mean of its divisors is an integer number (501010509937).

Almost surely, 21002021019873 is an apocalyptic number.

It is an amenable number.

1002021019873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002021019873 is an equidigital number, since it uses as much as digits as its factorization.

1002021019873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 1002021019873 in words is "one trillion, two billion, twenty-one million, nineteen thousand, eight hundred seventy-three".