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11221023120 = 24351491791753
BaseRepresentation
bin10100111001101001…
…10011100110010000
31001222000100000221220
422130310303212100
5140440040214440
65053241245040
7545032060056
oct123464634620
931860300856
1011221023120
114838a7a82a
122211a93780
13109a962968
147863a61d6
1545a19c8d0
hex29cd33990

11221023120 has 160 divisors (see below), whose sum is σ = 35234352000. Its totient is φ = 2953900032.

The previous prime is 11221023113. The next prime is 11221023127. The reversal of 11221023120 is 2132012211.

It is an interprime number because it is at equal distance from previous prime (11221023113) and next prime (11221023127).

It is a super-2 number, since 2×112210231202 (a number of 21 digits) contains 22 as substring.

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 11221023120.

It is not an unprimeable number, because it can be changed into a prime (11221023127) 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, 6400164 + ... + 6401916.

It is an arithmetic number, because the mean of its divisors is an integer number (220214700).

Almost surely, 211221023120 is an apocalyptic number.

11221023120 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 11221023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617176000).

11221023120 is an abundant number, since it is smaller than the sum of its proper divisors (24013328880).

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

11221023120 is a wasteful number, since it uses less digits than its factorization.

11221023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11221023120 its reverse (2132012211), we get a palindrome (13353035331).

The spelling of 11221023120 in words is "eleven billion, two hundred twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 179 240 298 358 447 537 596 716 745 894 895 1074 1192 1432 1490 1753 1788 1790 2148 2235 2384 2685 2864 2980 3506 3576 3580 4296 4470 5259 5370 5960 7012 7152 7160 8592 8765 8940 10518 10740 11920 14024 14320 17530 17880 21036 21480 26295 26671 28048 35060 35760 42072 42960 52590 53342 70120 80013 84144 105180 106684 133355 140240 160026 210360 213368 261197 266710 313787 320052 400065 420720 426736 522394 533420 627574 640104 783591 800130 941361 1044788 1066840 1255148 1280208 1305985 1567182 1568935 1600260 1882722 2089576 2133680 2510296 2611970 3134364 3137870 3200520 3765444 3917955 4179152 4706805 5020592 5223940 6268728 6275740 6401040 7530888 7835910 9413610 10447880 12537456 12551480 15061776 15671820 18827220 20895760 25102960 31343640 37654440 46754263 62687280 75308880 93508526 140262789 187017052 233771315 280525578 374034104 467542630 561051156 701313945 748068208 935085260 1122102312 1402627890 1870170520 2244204624 2805255780 3740341040 5610511560 11221023120