Search a number
-
+
101497860481 is a prime number
BaseRepresentation
bin101111010000110111…
…1100111000110000001
3100200222120010112112211
41132201233213012001
53130331423013411
6114343311222121
710222132402453
oct1364157470601
9320876115484
10101497860481
113a054994926
1217807517941
139756c32c14
144cabd682d3
1529909b0221
hex17a1be7181

101497860481 has 2 divisors, whose sum is σ = 101497860482. Its totient is φ = 101497860480.

The previous prime is 101497860479. The next prime is 101497860491. The reversal of 101497860481 is 184068794101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59528192256 + 41969668225 = 243984^2 + 204865^2 .

It is a cyclic number.

It is not a de Polignac number, because 101497860481 - 21 = 101497860479 is a prime.

It is a super-2 number, since 2×1014978604812 (a number of 23 digits) contains 22 as substring.

Together with 101497860479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101497860491) 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, 50748930240 + 50748930241.

It is an arithmetic number, because the mean of its divisors is an integer number (50748930241).

Almost surely, 2101497860481 is an apocalyptic number.

It is an amenable number.

101497860481 is a deficient number, since it is larger than the sum of its proper divisors (1).

101497860481 is an equidigital number, since it uses as much as digits as its factorization.

101497860481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 101497860481 in words is "one hundred one billion, four hundred ninety-seven million, eight hundred sixty thousand, four hundred eighty-one".