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213223013133 = 31343381115569
BaseRepresentation
bin1100011010010100010…
…1001111101100001101
3202101100212201100110120
43012211011033230031
511443140042410013
6241541525055153
721255602464464
oct3064505175415
9671325640416
10213223013133
1182477917729
12353a7b574b9
1317150974bc0
14a46a2dd9db
15582e279123
hex31a514fb0d

213223013133 has 32 divisors (see below), whose sum is σ = 307271583360. Its totient is φ = 130741309440.

The previous prime is 213223013099. The next prime is 213223013137. The reversal of 213223013133 is 331310322312.

213223013133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213223013133 - 218 = 213222750989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223013137) 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 31 ways as a sum of consecutive naturals, for example, 13687573 + ... + 13703141.

It is an arithmetic number, because the mean of its divisors is an integer number (9602236980).

Almost surely, 2213223013133 is an apocalyptic number.

It is an amenable number.

213223013133 is a deficient number, since it is larger than the sum of its proper divisors (94048570227).

213223013133 is a wasteful number, since it uses less digits than its factorization.

213223013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213223013133 its reverse (331310322312), we get a palindrome (544533335445).

The spelling of 213223013133 in words is "two hundred thirteen billion, two hundred twenty-three million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 13 39 433 811 1299 2433 5629 10543 15569 16887 31629 46707 202397 351163 607191 1053489 4565119 6741377 12626459 13695357 20224131 37879377 87637901 164143967 262913703 492431901 5467256747 16401770241 71074337711 213223013133