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11203211120 = 2451033174289
BaseRepresentation
bin10100110111100001…
…10110111101110000
31001220202211002111012
422123300312331300
5140421010223440
65051403410052
7544424503043
oct123360667560
931822732435
1011203211120
114829a14372
122207b23928
13109706740a
14783c8ac5a
1545882ee65
hex29bc36f70

11203211120 has 80 divisors (see below), whose sum is σ = 26389471680. Its totient is φ = 4422746112.

The previous prime is 11203211119. The next prime is 11203211137. The reversal of 11203211120 is 2111230211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11203211095 and 11203211104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2609936 + ... + 2614224.

It is an arithmetic number, because the mean of its divisors is an integer number (329868396).

Almost surely, 211203211120 is an apocalyptic number.

11203211120 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 11203211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194735840).

11203211120 is an abundant number, since it is smaller than the sum of its proper divisors (15186260560).

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

11203211120 is a wasteful number, since it uses less digits than its factorization.

11203211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11203211120 its reverse (2111230211), we get a palindrome (13314441331).

The spelling of 11203211120 in words is "eleven billion, two hundred three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 317 412 515 634 824 1030 1268 1585 1648 2060 2536 3170 4120 4289 5072 6340 8240 8578 12680 17156 21445 25360 32651 34312 42890 65302 68624 85780 130604 163255 171560 261208 326510 343120 441767 522416 653020 883534 1306040 1359613 1767068 2208835 2612080 2719226 3534136 4417670 5438452 6798065 7068272 8835340 10876904 13596130 17670680 21753808 27192260 35341360 54384520 108769040 140040139 280080278 560160556 700200695 1120321112 1400401390 2240642224 2800802780 5601605560 11203211120