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213132003133 = 7237636118481
BaseRepresentation
bin1100011001111110101…
…0000100011100111101
3202101010112110120012211
43012133222010130331
511442443243100013
6241524514300421
721253416064300
oct3063752043475
9671115416184
10213132003133
1182430506555
1235381587711
1317137b5b32a
14a45c1acb37
15582629d23d
hex319fa8473d

213132003133 has 24 divisors (see below), whose sum is σ = 254683660344. Its totient is φ = 177709593600.

The previous prime is 213132003089. The next prime is 213132003163. The reversal of 213132003133 is 331300231312.

It can be written as a sum of positive squares in 4 ways, for example, as 101647467684 + 111484535449 = 318822^2 + 333893^2 .

It is not a de Polignac number, because 213132003133 - 217 = 213131872061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132003163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11523253 + ... + 11541733.

It is an arithmetic number, because the mean of its divisors is an integer number (10611819181).

Almost surely, 2213132003133 is an apocalyptic number.

It is an amenable number.

213132003133 is a deficient number, since it is larger than the sum of its proper divisors (41551657211).

213132003133 is a wasteful number, since it uses less digits than its factorization.

213132003133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24893 (or 24886 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213132003133 its reverse (331300231312), we get a palindrome (544432234445).

The spelling of 213132003133 in words is "two hundred thirteen billion, one hundred thirty-two million, three thousand, one hundred thirty-three".

Divisors: 1 7 37 49 259 1813 6361 18481 44527 129367 235357 311689 683797 905569 1647499 4786579 11532493 33506053 117557641 822903487 4349632717 5760324409 30447429019 213132003133