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101111314141 is a prime number
BaseRepresentation
bin101111000101010110…
…1000011011011011101
3100122222121202221122201
41132022231003123131
53124033444023031
6114241102211501
710206426663265
oct1361255033335
9318877687581
10101111314141
1139976778942
1217719b83b91
1396c4b22186
144c728a67a5
15296baa7d61
hex178ab436dd

101111314141 has 2 divisors, whose sum is σ = 101111314142. Its totient is φ = 101111314140.

The previous prime is 101111314127. The next prime is 101111314153. The reversal of 101111314141 is 141413111101.

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., 57355460100 + 43755854041 = 239490^2 + 209179^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111314141 - 219 = 101110789853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111314111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555657070 + 50555657071.

It is an arithmetic number, because the mean of its divisors is an integer number (50555657071).

Almost surely, 2101111314141 is an apocalyptic number.

It is an amenable number.

101111314141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111314141 is an equidigital number, since it uses as much as digits as its factorization.

101111314141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 101111314141 its reverse (141413111101), we get a palindrome (242524425242).

The spelling of 101111314141 in words is "one hundred one billion, one hundred eleven million, three hundred fourteen thousand, one hundred forty-one".