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11220107280 = 2435715231259
BaseRepresentation
bin10100111001100010…
…10100000000010000
31001221221121111122220
422130301110000100
5140434321413110
65053205501040
7545021224014
oct123461240020
931857544586
1011220107280
114838504738
122211711780
13109a701b45
14786208544
1545a06b370
hex29cc54010

11220107280 has 160 divisors (see below), whose sum is σ = 35367736320. Its totient is φ = 2941908480.

The previous prime is 11220107263. The next prime is 11220107293. The reversal of 11220107280 is 8270102211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11220107280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8911291 + ... + 8912549.

It is an arithmetic number, because the mean of its divisors is an integer number (221048352).

Almost surely, 211220107280 is an apocalyptic number.

11220107280 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 11220107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683868160).

11220107280 is an abundant number, since it is smaller than the sum of its proper divisors (24147629040).

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

11220107280 is a wasteful number, since it uses less digits than its factorization.

11220107280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 11220107280 its reverse (8270102211), we get a palindrome (19490209491).

The spelling of 11220107280 in words is "eleven billion, two hundred twenty million, one hundred seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 523 568 710 852 1046 1065 1136 1259 1420 1569 1704 2092 2130 2518 2615 2840 3138 3408 3777 4184 4260 5036 5230 5680 6276 6295 7554 7845 8368 8520 10072 10460 12552 12590 15108 15690 17040 18885 20144 20920 25104 25180 30216 31380 37133 37770 41840 50360 60432 62760 74266 75540 89389 100720 111399 125520 148532 151080 178778 185665 222798 268167 297064 302160 357556 371330 445596 446945 536334 556995 594128 658457 715112 742660 891192 893890 1072668 1113990 1316914 1340835 1430224 1485320 1782384 1787780 1975371 2145336 2227980 2633828 2681670 2970640 3292285 3575560 3950742 4290672 4455960 5267656 5363340 6584570 7151120 7901484 8911920 9876855 10535312 10726680 13169140 15802968 19753710 21453360 26338280 31605936 39507420 46750447 52676560 79014840 93500894 140251341 158029680 187001788 233752235 280502682 374003576 467504470 561005364 701256705 748007152 935008940 1122010728 1402513410 1870017880 2244021456 2805026820 3740035760 5610053640 11220107280