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11031211120 = 245315975391
BaseRepresentation
bin10100100011000001…
…01110110001110000
31001110210011120211211
422101200232301300
5140042442223440
65022341045504
7540235514236
oct122140566160
931423146754
1011031211120
114750916206
12217a3b6894
13106a534977
147690b6956
154486a6eea
hex29182ec70

11031211120 has 80 divisors (see below), whose sum is σ = 26923991040. Its totient is φ = 4197715200.

The previous prime is 11031211091. The next prime is 11031211123. The reversal of 11031211120 is 2111213011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11031211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031211123) 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, 108625 + ... + 184015.

It is an arithmetic number, because the mean of its divisors is an integer number (336549888).

Almost surely, 211031211120 is an apocalyptic number.

11031211120 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 11031211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461995520).

11031211120 is an abundant number, since it is smaller than the sum of its proper divisors (15892779920).

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

11031211120 is a wasteful number, since it uses less digits than its factorization.

11031211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75494 (or 75488 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11031211120 its reverse (2111213011), we get a palindrome (13142424131).

The spelling of 11031211120 in words is "eleven billion, thirty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 59 62 80 118 124 155 236 248 295 310 472 496 590 620 944 1180 1240 1829 2360 2480 3658 4720 7316 9145 14632 18290 29264 36580 73160 75391 146320 150782 301564 376955 603128 753910 1206256 1507820 2337121 3015640 4448069 4674242 6031280 8896138 9348484 11685605 17792276 18696968 22240345 23371210 35584552 37393936 44480690 46742420 71169104 88961380 93484840 137890139 177922760 186969680 275780278 355845520 551560556 689450695 1103121112 1378901390 2206242224 2757802780 5515605560 11031211120