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32314313133 = 3217449470389
BaseRepresentation
bin11110000110000101…
…010100100110101101
310002102001002012011100
4132012011110212231
51012134431010013
622502303513313
72222531062314
oct360605244655
9102361065140
1032314313133
1112782650813
126319bb8839
13307c9ac05b
1417c796127b
15c91dc6473
hex7861549ad

32314313133 has 24 divisors (see below), whose sum is σ = 49532067000. Its totient is φ = 20230447104.

The previous prime is 32314313123. The next prime is 32314313159. The reversal of 32314313133 is 33131341323.

32314313133 is a `hidden beast` number, since 3 + 2 + 314 + 31 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5861892969 + 26452420164 = 76563^2 + 162642^2 .

It is a de Polignac number, because none of the positive numbers 2k-32314313133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32314313097 and 32314313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32314313123) 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 23 ways as a sum of consecutive naturals, for example, 166498 + ... + 303891.

It is an arithmetic number, because the mean of its divisors is an integer number (2063836125).

Almost surely, 232314313133 is an apocalyptic number.

It is an amenable number.

32314313133 is a deficient number, since it is larger than the sum of its proper divisors (17217753867).

32314313133 is a wasteful number, since it uses less digits than its factorization.

32314313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470861 (or 470858 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 32314313133 its reverse (33131341323), we get a palindrome (65445654456).

The spelling of 32314313133 in words is "thirty-two billion, three hundred fourteen million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 449 1347 4041 7633 22899 68697 470389 1411167 4233501 7996613 23989839 71969517 211204661 633613983 1900841949 3590479237 10771437711 32314313133