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101401006981 is a prime number
BaseRepresentation
bin101111001101111111…
…0001001001110000101
3100200201210212212112011
41132123332021032011
53130132124210411
6114325531254221
710216545223651
oct1363376111605
9320653785464
10101401006981
113a00525240a
121779abaa371
13973cb51661
144c9d155a61
15298722cc21
hex179bf89385

101401006981 has 2 divisors, whose sum is σ = 101401006982. Its totient is φ = 101401006980.

The previous prime is 101401006961. The next prime is 101401007017. The reversal of 101401006981 is 189600104101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92893896225 + 8507110756 = 304785^2 + 92234^2 .

It is a cyclic number.

It is not a de Polignac number, because 101401006981 - 213 = 101400998789 is a prime.

It is a super-2 number, since 2×1014010069812 (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 (101401006901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50700503490 + 50700503491.

It is an arithmetic number, because the mean of its divisors is an integer number (50700503491).

Almost surely, 2101401006981 is an apocalyptic number.

It is an amenable number.

101401006981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101401006981 is an equidigital number, since it uses as much as digits as its factorization.

101401006981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 101401006981 in words is "one hundred one billion, four hundred one million, six thousand, nine hundred eighty-one".