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11220452520 = 23351131395953
BaseRepresentation
bin10100111001100101…
…01000010010101000
31001221222021001020120
422130302220102220
5140434413440040
65053221123240
7545024162364
oct123462502250
931858231216
1011220452520
114838720062
122211859520
13109a7c3024
147862982a4
1545a0d87d0
hex29cca84a8

11220452520 has 128 divisors (see below), whose sum is σ = 34209302400. Its totient is φ = 2943811584.

The previous prime is 11220452473. The next prime is 11220452521. The reversal of 11220452520 is 2525402211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11220452521) 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, 1881864 + ... + 1887816.

It is an arithmetic number, because the mean of its divisors is an integer number (267260175).

Almost surely, 211220452520 is an apocalyptic number.

11220452520 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 11220452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104651200).

11220452520 is an abundant number, since it is smaller than the sum of its proper divisors (22988849880).

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

11220452520 is a wasteful number, since it uses less digits than its factorization.

11220452520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 11220452520 its reverse (2525402211), we get a palindrome (13745854731).

The spelling of 11220452520 in words is "eleven billion, two hundred twenty million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 139 226 278 339 417 452 556 565 678 695 834 904 1112 1130 1356 1390 1668 1695 2085 2260 2712 2780 3336 3390 4170 4520 5560 5953 6780 8340 11906 13560 15707 16680 17859 23812 29765 31414 35718 47121 47624 59530 62828 71436 78535 89295 94242 119060 125656 142872 157070 178590 188484 235605 238120 314140 357180 376968 471210 628280 672689 714360 827467 942420 1345378 1654934 1884840 2018067 2482401 2690756 3309868 3363445 4036134 4137335 4964802 5381512 6619736 6726890 8072268 8274670 9929604 10090335 12412005 13453780 16144536 16549340 19859208 20180670 24824010 26907560 33098680 40361340 49648020 80722680 93503771 99296040 187007542 280511313 374015084 467518855 561022626 748030168 935037710 1122045252 1402556565 1870075420 2244090504 2805113130 3740150840 5610226260 11220452520