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10110100037 is a prime number
BaseRepresentation
bin10010110101001101…
…11110001001000101
3222002120221021222112
421122212332021011
5131201141200122
64351114310405
7505352301212
oct113246761105
928076837875
1010110100037
114318984884
121b61a28405
13c5175921b
146bca22b09
153e28aa2e2
hex25a9be245

10110100037 has 2 divisors, whose sum is σ = 10110100038. Its totient is φ = 10110100036.

The previous prime is 10110100027. The next prime is 10110100057. The reversal of 10110100037 is 73000101101.

10110100037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9645007681 + 465092356 = 98209^2 + 21566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10110100037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110099994 and 10110100030.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110100027) 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, 5055050018 + 5055050019.

It is an arithmetic number, because the mean of its divisors is an integer number (5055050019).

Almost surely, 210110100037 is an apocalyptic number.

It is an amenable number.

10110100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110100037 is an equidigital number, since it uses as much as digits as its factorization.

10110100037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 10110100037 its reverse (73000101101), we get a palindrome (83110201138).

The spelling of 10110100037 in words is "ten billion, one hundred ten million, one hundred thousand, thirty-seven".