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1132123212 = 22321112722511
BaseRepresentation
bin100001101111010…
…1101010001001100
32220220021211002100
41003132231101030
54304310420322
6304201155100
740024613523
oct10336552114
92826254070
101132123212
11531065a20
1227718ba90
1315071a1bc
14aa5014ba
15695cddac
hex437ad44c

1132123212 has 72 divisors (see below), whose sum is σ = 3146637312. Its totient is φ = 340351200.

The previous prime is 1132123207. The next prime is 1132123219. The reversal of 1132123212 is 2123212311.

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 (1132123219) 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, 39037 + ... + 61547.

It is an arithmetic number, because the mean of its divisors is an integer number (43703296).

Almost surely, 21132123212 is an apocalyptic number.

1132123212 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 1132123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573318656).

1132123212 is an abundant number, since it is smaller than the sum of its proper divisors (2014514100).

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

1132123212 is a wasteful number, since it uses less digits than its factorization.

1132123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22659 (or 22654 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132123212 is about 33647.0386809894. The cubic root of 1132123212 is about 1042.2323878764.

Adding to 1132123212 its reverse (2123212311), we get a palindrome (3255335523).

The spelling of 1132123212 in words is "one billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 8382 12573 16764 22511 25146 45022 50292 67533 90044 135066 202599 247621 270132 405198 495242 742863 810396 990484 1485726 2228589 2858897 2971452 4457178 5717794 8576691 8914356 11435588 17153382 25730073 31447867 34306764 51460146 62895734 94343601 102920292 125791468 188687202 283030803 377374404 566061606 1132123212