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122240343042221 is a prime number
BaseRepresentation
bin11011110010110101001100…
…001110010110100010101101
3121000211001200200110110100212
4123302311030032112202231
5112010241210304322341
61111552234403232205
734514400440635145
oct3362651416264255
9530731620413325
10122240343042221
1135a499249369a8
1211862bb7678665
1353292a4150a11
14222866d987925
15e1eb427515eb
hex6f2d4c3968ad

122240343042221 has 2 divisors, whose sum is σ = 122240343042222. Its totient is φ = 122240343042220.

The previous prime is 122240343042151. The next prime is 122240343042319.

122240343042221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115333638422500 + 6906704619721 = 10739350^2 + 2628061^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122240343042221 - 238 = 121965465135277 is a prime.

It is a super-2 number, since 2×1222403430422212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122240343042421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61120171521110 + 61120171521111.

It is an arithmetic number, because the mean of its divisors is an integer number (61120171521111).

Almost surely, 2122240343042221 is an apocalyptic number.

It is an amenable number.

122240343042221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122240343042221 is an equidigital number, since it uses as much as digits as its factorization.

122240343042221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 122240343042221 in words is "one hundred twenty-two trillion, two hundred forty billion, three hundred forty-three million, forty-two thousand, two hundred twenty-one".