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10202221321973 is a prime number
BaseRepresentation
bin1001010001110110001111…
…0001110001111011110101
31100010022201100022210012222
42110131203301301323311
52314123122124300343
633410500305452125
72102041361253542
oct224354361617365
940108640283188
1010202221321973
113283812a682aa
121189313341045
135900b07330a5
14273b0c23bbc9
1512a5b33e6a68
hex94763c71ef5

10202221321973 has 2 divisors, whose sum is σ = 10202221321974. Its totient is φ = 10202221321972.

The previous prime is 10202221321969. The next prime is 10202221322071. The reversal of 10202221321973 is 37912312220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10148193898129 + 54027423844 = 3185623^2 + 232438^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202221321973 - 22 = 10202221321969 is a prime.

It is a super-2 number, since 2×102022213219732 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202221321933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101110660986 + 5101110660987.

It is an arithmetic number, because the mean of its divisors is an integer number (5101110660987).

Almost surely, 210202221321973 is an apocalyptic number.

It is an amenable number.

10202221321973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202221321973 is an equidigital number, since it uses as much as digits as its factorization.

10202221321973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 10202221321973 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, three hundred twenty-one thousand, nine hundred seventy-three".