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113133231133 = 13172292235437
BaseRepresentation
bin110100101011101000…
…1000001110000011101
3101211000110010121110121
41221113101001300131
53323144101344013
6123550033434541
711113355412046
oct1512721016035
9354013117417
10113133231133
1143a8583a02a
1219b1410ba51
13a88c68b820
14569338b8cd
152e2220758d
hex1a57441c1d

113133231133 has 16 divisors (see below), whose sum is σ = 129565986480. Its totient is φ = 97858446336.

The previous prime is 113133231121. The next prime is 113133231137. The reversal of 113133231133 is 331132331311.

It can be written as a sum of positive squares in 8 ways, for example, as 732622489 + 112400608644 = 27067^2 + 335262^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113133231133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113133231098 and 113133231107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133231137) 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 in 15 ways as a sum of consecutive naturals, for example, 1067110 + ... + 1168327.

It is an arithmetic number, because the mean of its divisors is an integer number (8097874155).

Almost surely, 2113133231133 is an apocalyptic number.

113133231133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113133231133 is a deficient number, since it is larger than the sum of its proper divisors (16432755347).

113133231133 is a wasteful number, since it uses less digits than its factorization.

113133231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235696.

The product of its digits is 1458, while the sum is 25.

Adding to 113133231133 its reverse (331132331311), we get a palindrome (444265562444).

The spelling of 113133231133 in words is "one hundred thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 13 17 221 229 2977 3893 50609 2235437 29060681 38002429 494031577 511915073 6654895949 8702556241 113133231133