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1020221121893 is a prime number
BaseRepresentation
bin11101101100010011110…
…10101110010101100101
310121112100222000211221112
432312021322232111211
5113203403101400033
62100403315154405
7133465013311121
oct16661172562545
93545328024845
101020221121893
11363745254086
12145885ba5a05
137528b71471c
1437543c4c581
151b811b0ec48
hexed89eae565

1020221121893 has 2 divisors, whose sum is σ = 1020221121894. Its totient is φ = 1020221121892.

The previous prime is 1020221121889. The next prime is 1020221121919. The reversal of 1020221121893 is 3981211220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 786330883009 + 233890238884 = 886753^2 + 483622^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020221121893 - 22 = 1020221121889 is a prime.

It is a super-3 number, since 3×10202211218933 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020221121853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110560946 + 510110560947.

It is an arithmetic number, because the mean of its divisors is an integer number (510110560947).

Almost surely, 21020221121893 is an apocalyptic number.

It is an amenable number.

1020221121893 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221121893 is an equidigital number, since it uses as much as digits as its factorization.

1020221121893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 1020221121893 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, eight hundred ninety-three".