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101608000037 is a prime number
BaseRepresentation
bin101111010100001001…
…1110000101000100101
3100201021020101012121122
41132220103300220211
53131043122000122
6114402244023325
710224640515155
oct1365023605045
9321236335548
10101608000037
113a101081355
1217838391b45
1397739b695b
144cbc838765
15299a4b9142
hex17a84f0a25

101608000037 has 2 divisors, whose sum is σ = 101608000038. Its totient is φ = 101608000036.

The previous prime is 101607999947. The next prime is 101608000049. The reversal of 101608000037 is 730000806101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94712524516 + 6895475521 = 307754^2 + 83039^2 .

It is a cyclic number.

It is not a de Polignac number, because 101608000037 - 236 = 32888523301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101608000057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50804000018 + 50804000019.

It is an arithmetic number, because the mean of its divisors is an integer number (50804000019).

Almost surely, 2101608000037 is an apocalyptic number.

It is an amenable number.

101608000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101608000037 is an equidigital number, since it uses as much as digits as its factorization.

101608000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 101608000037 its reverse (730000806101), we get a palindrome (831608806138).

The spelling of 101608000037 in words is "one hundred one billion, six hundred eight million, thirty-seven", and thus it is an aban number.