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2201313010312 = 2313731481195781
BaseRepresentation
bin100000000010001000011…
…110101110001010001000
321210102222021210101000001
4200002020132232022020
5242031242112312222
64403134053252344
7315016405600333
oct40021036561210
97712867711001
102201313010312
11779631896079
122b67673340b4
1312c7768c5310
14787890bb61a
153c3db861e27
hex200887ae288

2201313010312 has 64 divisors (see below), whose sum is σ = 4508914278960. Its totient is φ = 1001391206400.

The previous prime is 2201313010289. The next prime is 2201313010327. The reversal of 2201313010312 is 2130103131022.

It can be written as a sum of positive squares in 8 ways, for example, as 485176330116 + 1716136680196 = 696546^2 + 1310014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2201313010312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11145862 + ... + 11341642.

Almost surely, 22201313010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201313010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254457139480).

2201313010312 is an abundant number, since it is smaller than the sum of its proper divisors (2307601268648).

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

2201313010312 is a wasteful number, since it uses less digits than its factorization.

2201313010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197354 (or 197350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2201313010312 its reverse (2130103131022), we get a palindrome (4331416141334).

The spelling of 2201313010312 in words is "two trillion, two hundred one billion, three hundred thirteen million, ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1481 1898 2962 3796 5924 7592 11848 19253 38506 77012 108113 154024 195781 216226 391562 432452 783124 864904 1405469 1566248 2545153 2810938 5090306 5621876 10180612 11243752 14292013 20361224 28584026 57168052 114336104 185796169 289951661 371592338 579903322 743184676 1159806644 1486369352 2319613288 3769371593 7538743186 15077486372 21166471253 30154972744 42332942506 84665885012 169331770024 275164126289 550328252578 1100656505156 2201313010312