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41131303249 is a prime number
BaseRepresentation
bin100110010011100111…
…011110000101010001
310221011111210200210211
4212103213132011101
51133214103200444
630521230324121
72654162211001
oct462347360521
9127144720724
1041131303249
1116497603a03
127b7a959641
133b5657347a
141dc2938001
15110aea2c34
hex9939de151

41131303249 has 2 divisors, whose sum is σ = 41131303250. Its totient is φ = 41131303248.

The previous prime is 41131303231. The next prime is 41131303261. The reversal of 41131303249 is 94230313114.

41131303249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26083865025 + 15047438224 = 161505^2 + 122668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41131303249 is a prime.

It is a super-2 number, since 2×411313032492 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41131303249.

It is not a weakly prime, because it can be changed into another prime (41131303349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20565651624 + 20565651625.

It is an arithmetic number, because the mean of its divisors is an integer number (20565651625).

Almost surely, 241131303249 is an apocalyptic number.

It is an amenable number.

41131303249 is a deficient number, since it is larger than the sum of its proper divisors (1).

41131303249 is an equidigital number, since it uses as much as digits as its factorization.

41131303249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 41131303249 in words is "forty-one billion, one hundred thirty-one million, three hundred three thousand, two hundred forty-nine".