Search a number
-
+
1211213412 = 223410137013
BaseRepresentation
bin100100000110001…
…1010011001100100
310010102010000110000
41020030122121210
54440032312122
6320104301300
742005100303
oct11014323144
93112100400
101211213412
11571775622
12299771830
13163c1c436
14b6c0c43a
15715030ac
hex4831a664

1211213412 has 60 divisors (see below), whose sum is σ = 3197787516. Its totient is φ = 399729600.

The previous prime is 1211213363. The next prime is 1211213413. The reversal of 1211213412 is 2143121121.

It can be written as a sum of positive squares in 2 ways, for example, as 944087076 + 267126336 = 30726^2 + 16344^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1211213413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14218 + ... + 51230.

Almost surely, 21211213412 is an apocalyptic number.

1211213412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598893758).

1211213412 is an abundant number, since it is smaller than the sum of its proper divisors (1986574104).

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

1211213412 is a wasteful number, since it uses less digits than its factorization.

1211213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37130 (or 37119 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1211213412 is about 34802.4914625376. The cubic root of 1211213412 is about 1065.9583201170.

Adding to 1211213412 its reverse (2143121121), we get a palindrome (3354334533).

The spelling of 1211213412 in words is "one billion, two hundred eleven million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 37013 74026 111039 148052 222078 333117 444156 666234 999351 1332468 1998702 2998053 3738313 3997404 5996106 7476626 11214939 11992212 14953252 22429878 33644817 44859756 67289634 100934451 134579268 201868902 302803353 403737804 605606706 1211213412