Search a number
-
+
10133100313033 = 19289315387977
BaseRepresentation
bin1001001101110100101111…
…0110000011100111001001
31022212201022011221201101211
42103131023312003213021
52312010042140004113
633315025414413121
72064043446342205
oct223351366034711
938781264851354
1010133100313033
113257472a59225
121177a429611a1
135867164376b9
14270632273b05
151288ba062b3d
hex9374bd839c9

10133100313033 has 12 divisors (see below), whose sum is σ = 10814653765620. Its totient is φ = 9491916525696.

The previous prime is 10133100313027. The next prime is 10133100313081. The reversal of 10133100313033 is 33031300133101.

It can be written as a sum of positive squares in 2 ways, for example, as 3610577623104 + 6522522689929 = 1900152^2 + 2553923^2 .

It is not a de Polignac number, because 10133100313033 - 29 = 10133100312521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10133100312995 and 10133100313013.

It is not an unprimeable number, because it can be changed into a prime (10133100313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157661860 + ... + 157726117.

It is an arithmetic number, because the mean of its divisors is an integer number (901221147135).

Almost surely, 210133100313033 is an apocalyptic number.

It is an amenable number.

10133100313033 is a deficient number, since it is larger than the sum of its proper divisors (681553452587).

10133100313033 is an equidigital number, since it uses as much as digits as its factorization.

10133100313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315388104 (or 315388085 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 10133100313033 its reverse (33031300133101), we get a palindrome (43164400446134).

The spelling of 10133100313033 in words is "ten trillion, one hundred thirty-three billion, one hundred million, three hundred thirteen thousand, thirty-three".

Divisors: 1 19 89 361 1691 32129 315387977 5992371563 28069529953 113855059697 533321069107 10133100313033