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100501222417 is a prime number
BaseRepresentation
bin101110110011001010…
…1101111010000010001
3100121102002210002010221
41131212111233100101
53121311303104132
6114100345553041
710155341203231
oct1354625572021
9317362702127
10100501222417
1139693357a02
12175897a5781
13962860205b
144c15853cc1
152933244e97
hex176656f411

100501222417 has 2 divisors, whose sum is σ = 100501222418. Its totient is φ = 100501222416.

The previous prime is 100501222363. The next prime is 100501222429. The reversal of 100501222417 is 714222105001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86789749201 + 13711473216 = 294601^2 + 117096^2 .

It is an emirp because it is prime and its reverse (714222105001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100501222417 is a prime.

It is a super-2 number, since 2×1005012224172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100501222391 and 100501222400.

It is not a weakly prime, because it can be changed into another prime (100501222447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50250611208 + 50250611209.

It is an arithmetic number, because the mean of its divisors is an integer number (50250611209).

Almost surely, 2100501222417 is an apocalyptic number.

It is an amenable number.

100501222417 is a deficient number, since it is larger than the sum of its proper divisors (1).

100501222417 is an equidigital number, since it uses as much as digits as its factorization.

100501222417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 100501222417 its reverse (714222105001), we get a palindrome (814723327418).

The spelling of 100501222417 in words is "one hundred billion, five hundred one million, two hundred twenty-two thousand, four hundred seventeen".