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31233012201 = 3253241271693
BaseRepresentation
bin11101000101101000…
…011111000111101001
32222121200102102010200
4131011220133013221
51002431122342301
622203115502413
72153661136416
oct350550370751
988550372120
1031233012201
1112278248386
126077a57a09
132c39977611
1417240cd10d
15c2bed5c86
hex745a1f1e9

31233012201 has 24 divisors (see below), whose sum is σ = 46156463496. Its totient is φ = 20344296960.

The previous prime is 31233012199. The next prime is 31233012227. The reversal of 31233012201 is 10221033213.

31233012201 is a `hidden beast` number, since 312 + 330 + 1 + 2 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4205652201 + 27027360000 = 64851^2 + 164400^2 .

It is not a de Polignac number, because 31233012201 - 21 = 31233012199 is a prime.

It is a super-2 number, since 2×312330122012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31233012241) 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 in 23 ways as a sum of consecutive naturals, for example, 20890 + ... + 250803.

It is an arithmetic number, because the mean of its divisors is an integer number (1923185979).

Almost surely, 231233012201 is an apocalyptic number.

It is an amenable number.

31233012201 is a deficient number, since it is larger than the sum of its proper divisors (14923451295).

31233012201 is a wasteful number, since it uses less digits than its factorization.

31233012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271993 (or 271990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31233012201 its reverse (10221033213), we get a palindrome (41454045414).

It can be divided in two parts, 31233012 and 201, that added together give a palindrome (31233213).

The spelling of 31233012201 in words is "thirty-one billion, two hundred thirty-three million, twelve thousand, two hundred one".

Divisors: 1 3 9 53 159 241 477 723 2169 12773 38319 114957 271693 815079 2445237 14399729 43199187 65478013 129597561 196434039 589302117 3470334689 10411004067 31233012201