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101322010241 is a prime number
BaseRepresentation
bin101111001011101000…
…0110010111010000001
3100200112022020102100222
41132113100302322001
53130001413311431
6114314030152425
710214565606524
oct1362720627201
9320468212328
10101322010241
1139a746a6a51
1217778652715
139729682b1a
144c92870bbb
15298032657b
hex1797432e81

101322010241 has 2 divisors, whose sum is σ = 101322010242. Its totient is φ = 101322010240.

The previous prime is 101322010187. The next prime is 101322010253. The reversal of 101322010241 is 142010223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87379360000 + 13942650241 = 295600^2 + 118079^2 .

It is an emirp because it is prime and its reverse (142010223101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101322010241 is a prime.

It is a super-2 number, since 2×1013220102412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101322010271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661005120 + 50661005121.

It is an arithmetic number, because the mean of its divisors is an integer number (50661005121).

Almost surely, 2101322010241 is an apocalyptic number.

It is an amenable number.

101322010241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322010241 is an equidigital number, since it uses as much as digits as its factorization.

101322010241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101322010241 its reverse (142010223101), we get a palindrome (243332233342).

The spelling of 101322010241 in words is "one hundred one billion, three hundred twenty-two million, ten thousand, two hundred forty-one".