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101100131141 is a prime number
BaseRepresentation
bin101111000101000001…
…0011001001101000101
3100122221211201210110112
41132022002121031011
53124023113144031
6114240022402405
710206232635632
oct1361202311505
9318854653415
10101100131141
113997042a999
1217716290405
1396c2708009
144c711d5189
15296aae962b
hex178a099345

101100131141 has 2 divisors, whose sum is σ = 101100131142. Its totient is φ = 101100131140.

The previous prime is 101100131021. The next prime is 101100131201. The reversal of 101100131141 is 141131001101.

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., 88318924225 + 12781206916 = 297185^2 + 113054^2 .

It is an emirp because it is prime and its reverse (141131001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100131141 - 218 = 101099868997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100131641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550065570 + 50550065571.

It is an arithmetic number, because the mean of its divisors is an integer number (50550065571).

Almost surely, 2101100131141 is an apocalyptic number.

It is an amenable number.

101100131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100131141 is an equidigital number, since it uses as much as digits as its factorization.

101100131141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101100131141 its reverse (141131001101), we get a palindrome (242231132242).

The spelling of 101100131141 in words is "one hundred one billion, one hundred million, one hundred thirty-one thousand, one hundred forty-one".