Search a number
-
+
135415521100121 is a prime number
BaseRepresentation
bin11110110010100011100010…
…000010000100000101011001
3122202110121010111101100211212
4132302203202002010011121
5120222121441400200441
61200001010453432505
740344306564431453
oct3662434202040531
9582417114340755
10135415521100121
113a169444427359
121323052803b735
135a738237659a2
1425622092172d3
15109c70610ceeb
hex7b28e2084159

135415521100121 has 2 divisors, whose sum is σ = 135415521100122. Its totient is φ = 135415521100120.

The previous prime is 135415521100109. The next prime is 135415521100147. The reversal of 135415521100121 is 121001125514531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71128223400025 + 64287297700096 = 8433755^2 + 8017936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135415521100121 is a prime.

It is a super-2 number, since 2×1354155211001212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135415521100421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67707760550060 + 67707760550061.

It is an arithmetic number, because the mean of its divisors is an integer number (67707760550061).

Almost surely, 2135415521100121 is an apocalyptic number.

It is an amenable number.

135415521100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

135415521100121 is an equidigital number, since it uses as much as digits as its factorization.

135415521100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 32.

Adding to 135415521100121 its reverse (121001125514531), we get a palindrome (256416646614652).

The spelling of 135415521100121 in words is "one hundred thirty-five trillion, four hundred fifteen billion, five hundred twenty-one million, one hundred thousand, one hundred twenty-one".