Search a number
-
+
90101243340131 is a prime number
BaseRepresentation
bin10100011111001001010100…
…100110100110010101100011
3102211000121001120021211201112
4110133021110212212111203
543302204321243341011
6515343534553453535
724656412542620532
oct2437112446462543
9384017046254645
1090101243340131
11267887a4a27091
12a1322841112ab
133b3768428759a
141836ccdd16319
15a63b17d1358b
hex51f2549a6563

90101243340131 has 2 divisors, whose sum is σ = 90101243340132. Its totient is φ = 90101243340130.

The previous prime is 90101243340103. The next prime is 90101243340149. The reversal of 90101243340131 is 13104334210109.

It is a strong prime.

It is an emirp because it is prime and its reverse (13104334210109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90101243340131 - 218 = 90101243077987 is a prime.

It is a super-2 number, since 2×901012433401312 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90101243348131) 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, 45050621670065 + 45050621670066.

It is an arithmetic number, because the mean of its divisors is an integer number (45050621670066).

Almost surely, 290101243340131 is an apocalyptic number.

90101243340131 is a deficient number, since it is larger than the sum of its proper divisors (1).

90101243340131 is an equidigital number, since it uses as much as digits as its factorization.

90101243340131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 90101243340131 in words is "ninety trillion, one hundred one billion, two hundred forty-three million, three hundred forty thousand, one hundred thirty-one".