Search a number
-
+
1011124212 = 223731671471
BaseRepresentation
bin111100010001001…
…000011111110100
32121110121102122220
4330101020133310
54032321433322
6244155522340
734025262000
oct7421103764
92543542586
101011124212
1147983164a
122427593b0
13131633667
1498405700
155db7c55c
hex3c4487f4

1011124212 has 96 divisors (see below), whose sum is σ = 2769715200. Its totient is φ = 286967520.

The previous prime is 1011124201. The next prime is 1011124243. The reversal of 1011124212 is 2124211101.

1011124212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011124191 and 1011124200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686637 + ... + 688107.

It is an arithmetic number, because the mean of its divisors is an integer number (28851200).

Almost surely, 21011124212 is an apocalyptic number.

1011124212 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 1011124212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384857600).

1011124212 is an abundant number, since it is smaller than the sum of its proper divisors (1758590988).

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

1011124212 is a wasteful number, since it uses less digits than its factorization.

1011124212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1011124212 is about 31798.1793818451. The cubic root of 1011124212 is about 1003.6944052288.

Adding to 1011124212 its reverse (2124211101), we get a palindrome (3135335313).

The spelling of 1011124212 in words is "one billion, eleven million, one hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 343 501 588 668 686 1002 1029 1169 1372 1471 2004 2058 2338 2942 3507 4116 4413 4676 5884 7014 8183 8826 10297 14028 16366 17652 20594 24549 30891 32732 41188 49098 57281 61782 72079 98196 114562 123564 144158 171843 216237 229124 245657 288316 343686 432474 491314 504553 687372 736971 864948 982628 1009106 1473942 1513659 1719599 2018212 2947884 3027318 3439198 5158797 6054636 6878396 10317594 12037193 20635188 24074386 36111579 48148772 72223158 84260351 144446316 168520702 252781053 337041404 505562106 1011124212