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100221506909 is a prime number
BaseRepresentation
bin101110101010110101…
…0101101010101011101
3100120200121110001121022
41131111222231111131
53120223201210114
6114012514413525
710145403516146
oct1352552552535
9316617401538
10100221506909
113955a478567
121750bb912a5
1395b2687014
144bca640acd
1529188e148e
hex1755aad55d

100221506909 has 2 divisors, whose sum is σ = 100221506910. Its totient is φ = 100221506908.

The previous prime is 100221506893. The next prime is 100221506933. The reversal of 100221506909 is 909605122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86540695684 + 13680811225 = 294178^2 + 116965^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221506909 - 24 = 100221506893 is a prime.

It is a super-2 number, since 2×1002215069092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221506969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110753454 + 50110753455.

It is an arithmetic number, because the mean of its divisors is an integer number (50110753455).

Almost surely, 2100221506909 is an apocalyptic number.

It is an amenable number.

100221506909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221506909 is an equidigital number, since it uses as much as digits as its factorization.

100221506909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 100221506909 in words is "one hundred billion, two hundred twenty-one million, five hundred six thousand, nine hundred nine".