Search a number
-
+
35313643722053 is a prime number
BaseRepresentation
bin10000000011110000110010…
…01100001001010101000101
311122000221200112210210202102
420001320121030021111011
514112034320243101203
6203034510341121445
710303220003660234
oct1001703114112505
9148027615723672
1035313643722053
1110285483290164
123b6402b9b9285
1316920a6b9a418
148a1291cc8b1b
154138c78b3888
hex201e19309545

35313643722053 has 2 divisors, whose sum is σ = 35313643722054. Its totient is φ = 35313643722052.

The previous prime is 35313643722031. The next prime is 35313643722067. The reversal of 35313643722053 is 35022734631353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29130275179009 + 6183368543044 = 5397247^2 + 2486638^2 .

It is a cyclic number.

It is not a de Polignac number, because 35313643722053 - 224 = 35313626944837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35313643721989 and 35313643722007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35313643722073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17656821861026 + 17656821861027.

It is an arithmetic number, because the mean of its divisors is an integer number (17656821861027).

Almost surely, 235313643722053 is an apocalyptic number.

It is an amenable number.

35313643722053 is a deficient number, since it is larger than the sum of its proper divisors (1).

35313643722053 is an equidigital number, since it uses as much as digits as its factorization.

35313643722053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4082400, while the sum is 47.

The spelling of 35313643722053 in words is "thirty-five trillion, three hundred thirteen billion, six hundred forty-three million, seven hundred twenty-two thousand, fifty-three".