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113141032033 is a prime number
BaseRepresentation
bin110100101011110111…
…0110010010001100001
3101211000222210221021211
41221113232302101201
53323203101011113
6123550512550121
711113511622151
oct1512756622141
9354028727254
10113141032033
1143a8a187a57
1219b16852341
13a891190443
14569441c761
152e22c48b3d
hex1a57bb2461

113141032033 has 2 divisors, whose sum is σ = 113141032034. Its totient is φ = 113141032032.

The previous prime is 113141032019. The next prime is 113141032051. The reversal of 113141032033 is 330230141311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101906515984 + 11234516049 = 319228^2 + 105993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113141032033 is a prime.

It is a super-2 number, since 2×1131410320332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113141031995 and 113141032013.

It is not a weakly prime, because it can be changed into another prime (113141032063) 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, 56570516016 + 56570516017.

It is an arithmetic number, because the mean of its divisors is an integer number (56570516017).

Almost surely, 2113141032033 is an apocalyptic number.

It is an amenable number.

113141032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113141032033 is an equidigital number, since it uses as much as digits as its factorization.

113141032033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113141032033 its reverse (330230141311), we get a palindrome (443371173344).

The spelling of 113141032033 in words is "one hundred thirteen billion, one hundred forty-one million, thirty-two thousand, thirty-three".