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3120201221202 = 2321317246139077
BaseRepresentation
bin101101011001111010011…
…111000100010001010010
3102001021210012001222112200
4231121322133010101102
5402110133003034302
610345222312504030
7441266331531162
oct55317237042122
912037705058480
103120201221202
11aa32a727830a
124248710ab016
1319830660b370
14ab038c5c5a2
155626c1e581c
hex2d67a7c4452

3120201221202 has 72 divisors (see below), whose sum is σ = 7733924532516. Its totient is φ = 903587664384.

The previous prime is 3120201221201. The next prime is 3120201221369. The reversal of 3120201221202 is 2021221020213.

3120201221202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 918244979001 + 2201956242201 = 958251^2 + 1483899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3120201221201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23001913 + ... + 23137164.

Almost surely, 23120201221202 is an apocalyptic number.

3120201221202 is an abundant number, since it is smaller than the sum of its proper divisors (4613723311314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3120201221202 is a wasteful number, since it uses less digits than its factorization.

3120201221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46139132 (or 46139112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3120201221202 its reverse (2021221020213), we get a palindrome (5141422241415).

The spelling of 3120201221202 in words is "three trillion, one hundred twenty billion, two hundred one million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 442 578 663 867 1326 1734 1989 2601 3757 3978 5202 7514 11271 22542 33813 67626 46139077 92278154 138417231 276834462 415251693 599808001 784364309 830503386 1199616002 1568728618 1799424003 2353092927 3598848006 4706185854 5398272009 7059278781 10196736017 10796544018 13334193253 14118557562 20393472034 26668386506 30590208051 40002579759 61180416102 80005159518 91770624153 120007739277 173344512289 183541248306 240015478554 346689024578 520033536867 1040067073734 1560100610601 3120201221202