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100123022057 is a prime number
BaseRepresentation
bin101110100111111001…
…1000001001011101001
3100120102202010111210012
41131033303001023221
53120022443201212
6113555035501305
710143066434252
oct1351763011351
9316382114705
10100123022057
1139509921423
12174a2bb7835
139598154066
144bbb525b29
15290ee3a922
hex174fcc12e9

100123022057 has 2 divisors, whose sum is σ = 100123022058. Its totient is φ = 100123022056.

The previous prime is 100123022011. The next prime is 100123022063. The reversal of 100123022057 is 750220321001.

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., 60920606041 + 39202416016 = 246821^2 + 197996^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123022057 - 232 = 95828054761 is a prime.

It is a super-2 number, since 2×1001230220572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100123012057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061511028 + 50061511029.

It is an arithmetic number, because the mean of its divisors is an integer number (50061511029).

Almost surely, 2100123022057 is an apocalyptic number.

It is an amenable number.

100123022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123022057 is an equidigital number, since it uses as much as digits as its factorization.

100123022057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 100123022057 its reverse (750220321001), we get a palindrome (850343343058).

The spelling of 100123022057 in words is "one hundred billion, one hundred twenty-three million, twenty-two thousand, fifty-seven".