Search a number
-
+
2201320013022 = 2321315975890639
BaseRepresentation
bin100000000010001000111…
…001011011110011011110
321210102222202222010220200
4200002020321123303132
5242031300410404042
64403134503324330
7315016522244364
oct40021071336336
97712882863820
102201320013022
11779635839339
122b67697506a6
1312c7781a7830
1478789dc1634
153c3dc296c4c
hex20088e5bcde

2201320013022 has 48 divisors (see below), whose sum is σ = 5139630525120. Its totient is φ = 676904993856.

The previous prime is 2201320012999. The next prime is 2201320013029. The reversal of 2201320013022 is 2203100231022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201320012986 and 2201320013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201320013029) 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, 2571622 + ... + 3319017.

It is an arithmetic number, because the mean of its divisors is an integer number (107075635940).

Almost surely, 22201320013022 is an apocalyptic number.

2201320013022 is an abundant number, since it is smaller than the sum of its proper divisors (2938310512098).

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

2201320013022 is a wasteful number, since it uses less digits than its factorization.

2201320013022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892257 (or 5892254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2201320013022 its reverse (2203100231022), we get a palindrome (4404420244044).

The spelling of 2201320013022 in words is "two trillion, two hundred one billion, three hundred twenty million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1597 3194 4791 9582 14373 20761 28746 41522 62283 124566 186849 373698 5890639 11781278 17671917 35343834 53015751 76578307 106031502 153156614 229734921 459469842 689204763 1378409526 9407350483 18814700966 28222051449 56444102898 84666154347 122295556279 169332308694 244591112558 366886668837 733773337674 1100660006511 2201320013022