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113331332133 = 32174781119433
BaseRepresentation
bin110100110001100010…
…0101110010000100101
3101211112020220011221200
41221203010232100211
53324100310112013
6124021431433113
711121312300015
oct1514304562045
9354466804850
10113331332133
1144077645268
1219b6a525799
13a8c172c656
1456b17d7c45
152e347d8e73
hex1a6312e425

113331332133 has 48 divisors (see below), whose sum is σ = 177245542656. Its totient is φ = 69507486720.

The previous prime is 113331332119. The next prime is 113331332143. The reversal of 113331332133 is 331233133311.

113331332133 is a `hidden beast` number, since 1 + 1 + 3 + 331 + 3 + 321 + 3 + 3 = 666.

It is not a de Polignac number, because 113331332133 - 28 = 113331331877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113331332097 and 113331332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331332143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5822185 + ... + 5841617.

It is an arithmetic number, because the mean of its divisors is an integer number (3692615472).

Almost surely, 2113331332133 is an apocalyptic number.

It is an amenable number.

113331332133 is a deficient number, since it is larger than the sum of its proper divisors (63914210523).

113331332133 is a wasteful number, since it uses less digits than its factorization.

113331332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20314 (or 20311 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 113331332133 its reverse (331233133311), we get a palindrome (444564465444).

The spelling of 113331332133 in words is "one hundred thirteen billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 17 47 51 141 153 423 799 811 2397 2433 7191 7299 13787 19433 38117 41361 58299 114351 124083 174897 330361 343053 647989 913351 991083 1943967 2740053 2973249 5831901 8220159 15526967 15760163 46580901 47280489 139742703 141841467 267922771 740727661 803768313 2222182983 2411304939 6666548949 12592370237 37777110711 113331332133