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101005336141 is a prime number
BaseRepresentation
bin101111000010001100…
…0110001111001001101
3100122201020100201011121
41132010120301321031
53123324331224031
6114222354520541
710204002122443
oct1360430617115
9318636321147
10101005336141
1139921974016
12176aa596151
1396a8b976b8
144c6279ab93
152962622011
hex1784631e4d

101005336141 has 2 divisors, whose sum is σ = 101005336142. Its totient is φ = 101005336140.

The previous prime is 101005336129. The next prime is 101005336151. The reversal of 101005336141 is 141633500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87944274916 + 13061061225 = 296554^2 + 114285^2 .

It is an emirp because it is prime and its reverse (141633500101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101005336141 - 211 = 101005334093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101005336151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502668070 + 50502668071.

It is an arithmetic number, because the mean of its divisors is an integer number (50502668071).

Almost surely, 2101005336141 is an apocalyptic number.

It is an amenable number.

101005336141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005336141 is an equidigital number, since it uses as much as digits as its factorization.

101005336141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 101005336141 its reverse (141633500101), we get a palindrome (242638836242).

The spelling of 101005336141 in words is "one hundred one billion, five million, three hundred thirty-six thousand, one hundred forty-one".