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11321031120 = 2435761310993
BaseRepresentation
bin10101000101100100…
…10011100111010000
31002012222111222010220
422202302103213100
5141141140443440
65111212553040
7550355114430
oct124262234720
932188458126
1011321031120
11488a477273
12223b482780
1310b55a9ca9
1479579a2c0
15463d548d0
hex2a2c939d0

11321031120 has 160 divisors (see below), whose sum is σ = 40177880832. Its totient is φ = 2583207936.

The previous prime is 11321031101. The next prime is 11321031121. The reversal of 11321031120 is 2113012311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11321031120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321031121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024344 + ... + 1035336.

Almost surely, 211321031120 is an apocalyptic number.

11321031120 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 11321031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088940416).

11321031120 is an abundant number, since it is smaller than the sum of its proper divisors (28856849712).

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

11321031120 is a wasteful number, since it uses less digits than its factorization.

11321031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11321031120 its reverse (2113012311), we get a palindrome (13434043431).

The spelling of 11321031120 in words is "eleven billion, three hundred twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 613 840 1226 1680 1839 2452 3065 3678 4291 4904 6130 7356 8582 9195 9808 10993 12260 12873 14712 17164 18390 21455 21986 24520 25746 29424 32979 34328 36780 42910 43972 49040 51492 54965 64365 65958 68656 73560 76951 85820 87944 102984 109930 128730 131916 147120 153902 164895 171640 175888 205968 219860 230853 257460 263832 307804 329790 343280 384755 439720 461706 514920 527664 615608 659580 769510 879440 923412 1029840 1154265 1231216 1319160 1539020 1846824 2308530 2638320 3078040 3693648 4617060 6156080 6738709 9234120 13477418 18468240 20216127 26954836 33693545 40432254 47170963 53909672 67387090 80864508 94341926 101080635 107819344 134774180 141512889 161729016 188683852 202161270 235854815 269548360 283025778 323458032 377367704 404322540 471709630 539096720 566051556 707564445 754735408 808645080 943419260 1132103112 1415128890 1617290160 1886838520 2264206224 2830257780 3773677040 5660515560 11321031120