Search a number
-
+
1111132000 = 25531125253
BaseRepresentation
bin100001000111010…
…1000011101100000
32212102210100120001
41002032220131200
54233422211000
6302131225344
736351315616
oct10216503540
92772710501
101111132000
11520228a10
12270148254
1314927a874
14a77d96b6
156783446a
hex423a8760

1111132000 has 96 divisors (see below), whose sum is σ = 2978355744. Its totient is φ = 404032000.

The previous prime is 1111131907. The next prime is 1111132067. The reversal of 1111132000 is 2311111.

It is a super-2 number, since 2×11111320002 = 2469228642848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31374 + ... + 56626.

It is an arithmetic number, because the mean of its divisors is an integer number (31024539).

Almost surely, 21111132000 is an apocalyptic number.

1111132000 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 1111132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489177872).

1111132000 is an abundant number, since it is smaller than the sum of its proper divisors (1867223744).

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

1111132000 is a wasteful number, since it uses less digits than its factorization.

1111132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25289 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1111132000 is about 33333.6466651940. The cubic root of 1111132000 is about 1035.7506592741.

Adding to 1111132000 its reverse (2311111), we get a palindrome (1113443111).

The spelling of 1111132000 in words is "one billion, one hundred eleven million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 25253 44000 50506 101012 126265 202024 252530 277783 404048 505060 555566 631325 808096 1010120 1111132 1262650 1388915 2020240 2222264 2525300 2777830 3156625 4040480 4444528 5050600 5555660 6313250 6944575 8889056 10101200 11111320 12626500 13889150 20202400 22222640 25253000 27778300 34722875 44445280 50506000 55556600 69445750 101012000 111113200 138891500 222226400 277783000 555566000 1111132000