Search a number
-
+
101361331 is a prime number
BaseRepresentation
bin1100000101010…
…10011010110011
321001201200121101
412002222122303
5201422030311
614020305231
72340362041
oct602523263
9231650541
10101361331
11522412a5
1229b42217
1317ccc326
14d667391
158d72ec1
hex60aa6b3

101361331 has 2 divisors, whose sum is σ = 101361332. Its totient is φ = 101361330.

The previous prime is 101361329. The next prime is 101361347. The reversal of 101361331 is 133163101.

It is a weak prime.

It is an emirp because it is prime and its reverse (133163101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101361331 - 21 = 101361329 is a prime.

It is a super-2 number, since 2×1013613312 = 20548238844183122, which contains 22 as substring.

Together with 101361329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101361299 and 101361308.

It is not a weakly prime, because it can be changed into another prime (101361311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50680665 + 50680666.

It is an arithmetic number, because the mean of its divisors is an integer number (50680666).

Almost surely, 2101361331 is an apocalyptic number.

101361331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101361331 is an equidigital number, since it uses as much as digits as its factorization.

101361331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 101361331 is about 10067.8364607298. The cubic root of 101361331 is about 466.2556435909.

The spelling of 101361331 in words is "one hundred one million, three hundred sixty-one thousand, three hundred thirty-one".