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1123132000 = 2553614603
BaseRepresentation
bin100001011110001…
…1010001001100000
32220021101000110111
41002330122021200
54300010211000
6303240341104
736555315214
oct10274321140
92807330414
101123132000
11526a84771
12274174794
1314b8bc863
14a9240944
1568904cba
hex42f1a260

1123132000 has 96 divisors (see below), whose sum is σ = 2805382944. Its totient is φ = 441792000.

The previous prime is 1123131959. The next prime is 1123132001. The reversal of 1123132000 is 2313211.

It is a super-2 number, since 2×11231320002 = 2522850978848000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241699 + ... + 246301.

It is an arithmetic number, because the mean of its divisors is an integer number (29222739).

Almost surely, 21123132000 is an apocalyptic number.

1123132000 is a gapful number since it is divisible by the number (10) 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 1123132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402691472).

1123132000 is an abundant number, since it is smaller than the sum of its proper divisors (1682250944).

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

1123132000 is an equidigital number, since it uses as much as digits as its factorization.

1123132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1123132000 is about 33513.1615936187. The cubic root of 1123132000 is about 1039.4659486855.

Adding to 1123132000 its reverse (2313211), we get a palindrome (1125445211).

The spelling of 1123132000 in words is "one billion, one hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4603 4880 6100 7625 9206 9760 12200 15250 18412 23015 24400 30500 36824 46030 48800 61000 73648 92060 115075 122000 147296 184120 230150 244000 280783 368240 460300 561566 575375 736480 920600 1123132 1150750 1403915 1841200 2246264 2301500 2807830 3682400 4492528 4603000 5615660 7019575 8985056 9206000 11231320 14039150 18412000 22462640 28078300 35097875 44925280 56156600 70195750 112313200 140391500 224626400 280783000 561566000 1123132000