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100035198061 is a prime number
BaseRepresentation
bin101110100101010001…
…1111111110001101101
3100120012121212120220121
41131022203333301231
53114333002314221
6113542221244541
710140652103521
oct1351243776155
9316177776817
10100035198061
1139474296a07
1217479703751
139582bb46b6
144bad9c3d81
15290738da41
hex174a8ffc6d

100035198061 has 2 divisors, whose sum is σ = 100035198062. Its totient is φ = 100035198060.

The previous prime is 100035198013. The next prime is 100035198091. The reversal of 100035198061 is 160891530001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66465996100 + 33569201961 = 257810^2 + 183219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100035198061 is a prime.

It is a super-2 number, since 2×1000351980612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100035198091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50017599030 + 50017599031.

It is an arithmetic number, because the mean of its divisors is an integer number (50017599031).

Almost surely, 2100035198061 is an apocalyptic number.

It is an amenable number.

100035198061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100035198061 is an equidigital number, since it uses as much as digits as its factorization.

100035198061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 100035198061 in words is "one hundred billion, thirty-five million, one hundred ninety-eight thousand, sixty-one".