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1201221333 = 34136118701
BaseRepresentation
bin100011110011001…
…0010111011010101
310002201022100220000
41013212102323111
54430003040313
6315110201513
741524133004
oct10746227325
93081270800
101201221333
11567070404
12296353299
13161b31370
14b576ac3b
15706cc673
hex47992ed5

1201221333 has 40 divisors (see below), whose sum is σ = 1964233656. Its totient is φ = 727056000.

The previous prime is 1201221331. The next prime is 1201221349. The reversal of 1201221333 is 3331221021.

It can be written as a sum of positive squares in 4 ways, for example, as 94128804 + 1107092529 = 9702^2 + 33273^2 .

It is not a de Polignac number, because 1201221333 - 21 = 1201221331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201221331) 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 39 ways as a sum of consecutive naturals, for example, 54883 + ... + 73583.

Almost surely, 21201221333 is an apocalyptic number.

1201221333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1201221333 is a deficient number, since it is larger than the sum of its proper divisors (763012323).

1201221333 is a wasteful number, since it uses less digits than its factorization.

1201221333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18787 (or 18778 counting only the distinct ones).

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

The square root of 1201221333 is about 34658.6400916135. The cubic root of 1201221333 is about 1063.0189636038.

Adding to 1201221333 its reverse (3331221021), we get a palindrome (4532442354).

The spelling of 1201221333 in words is "one billion, two hundred one million, two hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 61 81 117 183 351 549 793 1053 1647 2379 4941 7137 18701 21411 56103 64233 168309 243113 504927 729339 1140761 1514781 2188017 3422283 6564051 10266849 14829893 19692153 30800547 44489679 92401641 133469037 400407111 1201221333