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242120482217 is a prime number
BaseRepresentation
bin1110000101111110000…
…0010101110110101001
3212010221210101212202022
43201133200111312221
512431330320412332
6303121214114225
723330654066465
oct3413740256651
9763853355668
10242120482217
1193756777989
123ab117ab975
1319aa77b1333
14ba0c14b4a5
1564711bc212
hex385f815da9

242120482217 has 2 divisors, whose sum is σ = 242120482218. Its totient is φ = 242120482216.

The previous prime is 242120482183. The next prime is 242120482231. The reversal of 242120482217 is 712284021242.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229422798361 + 12697683856 = 478981^2 + 112684^2 .

It is a cyclic number.

It is not a de Polignac number, because 242120482217 - 232 = 237825514921 is a prime.

It is a super-2 number, since 2×2421204822172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242120482267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121060241108 + 121060241109.

It is an arithmetic number, because the mean of its divisors is an integer number (121060241109).

Almost surely, 2242120482217 is an apocalyptic number.

It is an amenable number.

242120482217 is a deficient number, since it is larger than the sum of its proper divisors (1).

242120482217 is an equidigital number, since it uses as much as digits as its factorization.

242120482217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28672, while the sum is 35.

The spelling of 242120482217 in words is "two hundred forty-two billion, one hundred twenty million, four hundred eighty-two thousand, two hundred seventeen".