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1324122112 = 215172377
BaseRepresentation
bin100111011101100…
…1000000000000000
310102021120101001201
41032323020000000
510202433401422
6335220310544
744545565215
oct11673100000
93367511051
101324122112
1161a4835a5
1230b542454
13181432711
14c7bddb0c
157b3a7727
hex4eec8000

1324122112 has 64 divisors (see below), whose sum is σ = 2805160140. Its totient is φ = 622854144.

The previous prime is 1324122083. The next prime is 1324122119. The reversal of 1324122112 is 2112214231.

It can be written as a sum of positive squares in 2 ways, for example, as 1312178176 + 11943936 = 36224^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1324122112.

It is not an unprimeable number, because it can be changed into a prime (1324122119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555868 + ... + 558244.

Almost surely, 21324122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402580070).

1324122112 is an abundant number, since it is smaller than the sum of its proper divisors (1481038028).

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

1324122112 is an frugal number, since it uses more digits than its factorization.

1324122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2396 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 1324122112 is about 36388.4887292671. The cubic root of 1324122112 is about 1098.1019919569.

Adding to 1324122112 its reverse (2112214231), we get a palindrome (3436336343).

It can be divided in two parts, 13241 and 22112, that added together give a palindrome (35353).

The spelling of 1324122112 in words is "one billion, three hundred twenty-four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 2377 4096 4352 4754 8192 8704 9508 16384 17408 19016 32768 34816 38032 40409 69632 76064 80818 139264 152128 161636 278528 304256 323272 557056 608512 646544 1217024 1293088 2434048 2586176 4868096 5172352 9736192 10344704 19472384 20689408 38944768 41378816 77889536 82757632 165515264 331030528 662061056 1324122112