Search a number
-
+
2220202011213 = 3673281148469
BaseRepresentation
bin100000010011101110010…
…110100010101001001101
321212020201200210001000000
4200103232112202221031
5242333433203324323
64415540254154513
7316255450500654
oct40235626425115
97766650701000
102220202011213
1178664517801a
122ba3591b2a39
1313149706aa24
147965ba0019b
153cb44cc2e43
hex204ee5a2a4d

2220202011213 has 56 divisors (see below), whose sum is σ = 3386411252280. Its totient is φ = 1454653831680.

The previous prime is 2220202011169. The next prime is 2220202011229. The reversal of 2220202011213 is 3121102020222.

It can be written as a sum of positive squares in 4 ways, for example, as 350082855684 + 1870119155529 = 591678^2 + 1367523^2 .

It is not a de Polignac number, because 2220202011213 - 26 = 2220202011149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220202012213) 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 55 ways as a sum of consecutive naturals, for example, 14879743 + ... + 15028211.

It is an arithmetic number, because the mean of its divisors is an integer number (60471629505).

Almost surely, 22220202011213 is an apocalyptic number.

It is an amenable number.

2220202011213 is a deficient number, since it is larger than the sum of its proper divisors (1166209241067).

2220202011213 is an equidigital number, since it uses as much as digits as its factorization.

2220202011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148841 (or 148826 counting only the distinct ones).

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

Adding to 2220202011213 its reverse (3121102020222), we get a palindrome (5341304031435).

Subtracting 2220202011213 from its reverse (3121102020222), we obtain a palindrome (900900009009).

The spelling of 2220202011213 in words is "two trillion, two hundred twenty billion, two hundred two million, eleven thousand, two hundred thirteen".

Divisors: 1 3 9 27 73 81 219 243 281 657 729 843 1971 2529 5913 7587 17739 20513 22761 53217 61539 68283 148469 184617 204849 445407 553851 1336221 1661553 4008663 4984659 10838237 12025989 14953977 32514711 36077967 41719789 97544133 108233901 125159367 292632399 375478101 877897197 1126434303 2633691591 3045544597 3379302909 7901074773 9136633791 10137908727 27409901373 30413726181 82229704119 246689112357 740067337071 2220202011213