Search a number
-
+
22202120201013 = 3253412711278247
BaseRepresentation
bin1010000110001010101010…
…11111001110001100110101
32220121111112221010102010200
411003011111133032030311
510402224420232413023
6115115302504311113
74451023143625014
oct503052537161465
986544487112120
1022202120201013
11708a959055465
1225a6b05172499
13c508601a8b8c
1456a834616a7b
152877dc4e0743
hex1431557ce335

22202120201013 has 24 divisors (see below), whose sum is σ = 32682738636288. Its totient is φ = 14518621414752.

The previous prime is 22202120200927. The next prime is 22202120201083. The reversal of 22202120201013 is 31010202120222.

It is not a de Polignac number, because 22202120201013 - 213 = 22202120192821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202120201083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670545 + ... + 7607702.

It is an arithmetic number, because the mean of its divisors is an integer number (1361780776512).

Almost surely, 222202120201013 is an apocalyptic number.

It is an amenable number.

22202120201013 is a deficient number, since it is larger than the sum of its proper divisors (10480618435275).

22202120201013 is a wasteful number, since it uses less digits than its factorization.

22202120201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282433 (or 11282430 counting only the distinct ones).

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

Adding to 22202120201013 its reverse (31010202120222), we get a palindrome (53212322321235).

The spelling of 22202120201013 in words is "twenty-two trillion, two hundred two billion, one hundred twenty million, two hundred one thousand, thirteen".

Divisors: 1 3 9 53 159 477 4127 12381 37143 218731 656193 1968579 11278247 33834741 101504223 597747091 1793241273 5379723819 46545325369 139635976107 418907928321 2466902244557 7400706733671 22202120201013