Search a number
-
+
212013203130 = 232517138570721
BaseRepresentation
bin1100010101110011111…
…0001011111010111010
3202021020120020122010200
43011130332023322322
511433200340000010
6241221510423030
721213612330561
oct3053476137272
9667216218120
10212013203130
1181a06a20553
123510a961a76
1316cba1274b1
14a393778bd8
1557ace51cc0
hex315cf8beba

212013203130 has 48 divisors (see below), whose sum is σ = 583659881064. Its totient is φ = 53211156480.

The previous prime is 212013203117. The next prime is 212013203159. The reversal of 212013203130 is 31302310212.

212013203130 is a `hidden beast` number, since 212 + 0 + 1 + 320 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180457588809 + 31555614321 = 424803^2 + 177639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 69283831 + ... + 69286890.

Almost surely, 2212013203130 is an apocalyptic number.

212013203130 is an abundant number, since it is smaller than the sum of its proper divisors (371646677934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212013203130 is a wasteful number, since it uses less digits than its factorization.

212013203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138570751 (or 138570748 counting only the distinct ones).

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

Adding to 212013203130 its reverse (31302310212), we get a palindrome (243315513342).

The spelling of 212013203130 in words is "two hundred twelve billion, thirteen million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 138570721 277141442 415712163 692853605 831424326 1247136489 1385707210 2078560815 2355702257 2494272978 4157121630 4711404514 6235682445 7067106771 11778511285 12471364890 14134213542 21201320313 23557022570 35335533855 42402640626 70671067710 106006601565 212013203130