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1000919190881 is a prime number
BaseRepresentation
bin11101001000010110110…
…11101100110101100001
310112200112210001011022202
432210023123230311201
5112344340303102011
62043452123542545
7132212465513561
oct16441333546541
93480483034282
101000919190881
1135653a875685
12141b9998aa55
137350385127c
143663255ada1
151b0822d423b
hexe90b6ecd61

1000919190881 has 2 divisors, whose sum is σ = 1000919190882. Its totient is φ = 1000919190880.

The previous prime is 1000919190857. The next prime is 1000919190917. The reversal of 1000919190881 is 1880919190001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 628555624225 + 372363566656 = 792815^2 + 610216^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000919190881 - 210 = 1000919189857 is a prime.

It is a super-2 number, since 2×10009191908812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000919190181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500459595440 + 500459595441.

It is an arithmetic number, because the mean of its divisors is an integer number (500459595441).

Almost surely, 21000919190881 is an apocalyptic number.

It is an amenable number.

1000919190881 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000919190881 is an equidigital number, since it uses as much as digits as its factorization.

1000919190881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 47.

The spelling of 1000919190881 in words is "one trillion, nine hundred nineteen million, one hundred ninety thousand, eight hundred eighty-one".