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10202222213009 is a prime number
BaseRepresentation
bin1001010001110110001111…
…0101001011011110010001
31100010022201102000001111022
42110131203311023132101
52314123122341304014
633410500340525225
72102041401654401
oct224354365133621
940108642001438
1010202222213009
1132838135167a2
1211893136b0815
135900b0985828
14273b0c3d0801
1512a5b3520a8e
hex94763d4b791

10202222213009 has 2 divisors, whose sum is σ = 10202222213010. Its totient is φ = 10202222213008.

The previous prime is 10202222212967. The next prime is 10202222213063. The reversal of 10202222213009 is 90031222220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9122967180625 + 1079255032384 = 3020425^2 + 1038872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202222213009 is a prime.

It is a super-2 number, since 2×102022222130092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202222213809) 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, 5101111106504 + 5101111106505.

It is an arithmetic number, because the mean of its divisors is an integer number (5101111106505).

Almost surely, 210202222213009 is an apocalyptic number.

It is an amenable number.

10202222213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202222213009 is an equidigital number, since it uses as much as digits as its factorization.

10202222213009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10202222213009 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two hundred thirteen thousand, nine".