Search a number
-
+
131000030310041 is a prime number
BaseRepresentation
bin11101110010010011010010…
…010001011010111010011001
3122011211110222100110121210222
4131302103102101122322121
5114132301030224410131
61142340325542045425
736410303605120124
oct3562232221327231
9564743870417728
10131000030310041
1138816889a45542
1212838825119875
135813332c03b59
14244c6146553bb
1510229287ea87b
hex7724d245ae99

131000030310041 has 2 divisors, whose sum is σ = 131000030310042. Its totient is φ = 131000030310040.

The previous prime is 131000030310001. The next prime is 131000030310109. The reversal of 131000030310041 is 140013030000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107147941810441 + 23852088499600 = 10351229^2 + 4883860^2 .

It is a cyclic number.

It is not a de Polignac number, because 131000030310041 - 234 = 130982850440857 is a prime.

It is a super-2 number, since 2×1310000303100412 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131000030310001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500015155020 + 65500015155021.

It is an arithmetic number, because the mean of its divisors is an integer number (65500015155021).

Almost surely, 2131000030310041 is an apocalyptic number.

It is an amenable number.

131000030310041 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000030310041 is an equidigital number, since it uses as much as digits as its factorization.

131000030310041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131000030310041 its reverse (140013030000131), we get a palindrome (271013060310172).

The spelling of 131000030310041 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, forty-one".