Search a number
-
+
131403311244221 is a prime number
BaseRepresentation
bin11101111000001010110111…
…101100000110001110111101
3122020021000220200200201101112
4131320022313230012032331
5114210402440134303341
61143245503044051405
736451401356364662
oct3570126754061675
9566230820621345
10131403311244221
113896191657a295
12128a2a13093b65
1358423821aa363
142463d5046da69
15102d17d27caeb
hex7782b7b063bd

131403311244221 has 2 divisors, whose sum is σ = 131403311244222. Its totient is φ = 131403311244220.

The previous prime is 131403311244217. The next prime is 131403311244229. The reversal of 131403311244221 is 122442113304131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98557460167321 + 32845851076900 = 9927611^2 + 5731130^2 .

It is a cyclic number.

It is not a de Polignac number, because 131403311244221 - 22 = 131403311244217 is a prime.

It is a super-2 number, since 2×1314033112442212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131403311244229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65701655622110 + 65701655622111.

It is an arithmetic number, because the mean of its divisors is an integer number (65701655622111).

Almost surely, 2131403311244221 is an apocalyptic number.

It is an amenable number.

131403311244221 is a deficient number, since it is larger than the sum of its proper divisors (1).

131403311244221 is an equidigital number, since it uses as much as digits as its factorization.

131403311244221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131403311244221 its reverse (122442113304131), we get a palindrome (253845424548352).

The spelling of 131403311244221 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred eleven million, two hundred forty-four thousand, two hundred twenty-one".