Search a number
-
+
2200133210013 = 321714379955621
BaseRepresentation
bin100000000001000010001…
…010001000111110011101
321210022221001210022020200
4200001002022020332131
5242021333100210023
64402421030134113
7314645231502324
oct40010212107635
97708831708220
102200133210013
11779086926702
122b64981b1339
1312c61935412b
14786b65290bb
153c36ceb6743
hex20042288f9d

2200133210013 has 12 divisors (see below), whose sum is σ = 3364909615548. Its totient is φ = 1380475739520.

The previous prime is 2200133209987. The next prime is 2200133210063. The reversal of 2200133210013 is 3100123310022.

2200133210013 is a `hidden beast` number, since 220 + 0 + 1 + 332 + 100 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1071231210009 + 1128902000004 = 1035003^2 + 1062498^2 .

It is not a de Polignac number, because 2200133210013 - 210 = 2200133208989 is a prime.

It is a super-2 number, since 2×22001332100132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200133210063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7189977658 + ... + 7189977963.

It is an arithmetic number, because the mean of its divisors is an integer number (280409134629).

Almost surely, 22200133210013 is an apocalyptic number.

It is an amenable number.

2200133210013 is a deficient number, since it is larger than the sum of its proper divisors (1164776405535).

2200133210013 is a wasteful number, since it uses less digits than its factorization.

2200133210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14379955644 (or 14379955641 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2200133210013 its reverse (3100123310022), we get a palindrome (5300256520035).

The spelling of 2200133210013 in words is "two trillion, two hundred billion, one hundred thirty-three million, two hundred ten thousand, thirteen".

Divisors: 1 3 9 17 51 153 14379955621 43139866863 129419600589 244459245557 733377736671 2200133210013