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10098610061 is a prime number
BaseRepresentation
bin10010110011110110…
…01000111110001101
3222001210022112200212
421121323020332031
5131140221010221
64350024132205
7505152524561
oct113173107615
928053275625
1010098610061
114312447231
121b5a007065
13c4c265417
146bb2b16a1
153e188ab5b
hex259ec8f8d

10098610061 has 2 divisors, whose sum is σ = 10098610062. Its totient is φ = 10098610060.

The previous prime is 10098610043. The next prime is 10098610099. The reversal of 10098610061 is 16001689001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5456776900 + 4641833161 = 73870^2 + 68131^2 .

It is an emirp because it is prime and its reverse (16001689001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19001986001 and 10068910091.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10098610061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10098612061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5049305030 + 5049305031.

It is an arithmetic number, because the mean of its divisors is an integer number (5049305031).

Almost surely, 210098610061 is an apocalyptic number.

It is an amenable number.

10098610061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10098610061 is an equidigital number, since it uses as much as digits as its factorization.

10098610061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 10098610061 in words is "ten billion, ninety-eight million, six hundred ten thousand, sixty-one".