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1111201120 = 25529713373
BaseRepresentation
bin100001000111011…
…1001010101100000
32212102220212101001
41002032321111200
54233431413440
6302132521344
736352024261
oct10216712540
92772825331
101111201120
11520275937
12270180254
131492a3173
14a7816968
1567849b9a
hex423b9560

1111201120 has 96 divisors (see below), whose sum is σ = 2754803520. Its totient is φ = 422983680.

The previous prime is 1111201087. The next prime is 1111201121. The reversal of 1111201120 is 211021111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111201097 and 1111201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327754 + ... + 331126.

It is an arithmetic number, because the mean of its divisors is an integer number (28695870).

Almost surely, 21111201120 is an apocalyptic number.

1111201120 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 1111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377401760).

1111201120 is an abundant number, since it is smaller than the sum of its proper divisors (1643602400).

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

1111201120 is a wasteful number, since it uses less digits than its factorization.

1111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1111201120 is about 33334.6834393249. The cubic root of 1111201120 is about 1035.7721357507.

Adding to 1111201120 its reverse (211021111), we get a palindrome (1322222231).

Subtracting from 1111201120 its reverse (211021111), we obtain a square (900180009 = 300032).

The spelling of 1111201120 in words is "one billion, one hundred eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 71 80 116 142 145 160 232 284 290 355 464 568 580 710 928 1136 1160 1420 2059 2272 2320 2840 3373 4118 4640 5680 6746 8236 10295 11360 13492 16472 16865 20590 26984 32944 33730 41180 53968 65888 67460 82360 97817 107936 134920 164720 195634 239483 269840 329440 391268 478966 489085 539680 782536 957932 978170 1197415 1565072 1915864 1956340 2394830 3130144 3831728 3912680 4789660 6945007 7663456 7825360 9579320 13890014 15650720 19158640 27780028 34725035 38317280 55560056 69450070 111120112 138900140 222240224 277800280 555600560 1111201120