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11233124320 = 255118971713
BaseRepresentation
bin10100111011000101…
…11101111111100000
31001222212002211200111
422131202331333200
5141001134434240
65054352501104
7545236660405
oct123542757740
931885084614
1011233124320
114844895620
122215b4a794
1310a030ba32
14787c362ac
1545b28d1ea
hex29d8bdfe0

11233124320 has 96 divisors (see below), whose sum is σ = 29276523360. Its totient is φ = 4038819840.

The previous prime is 11233124317. The next prime is 11233124327. The reversal of 11233124320 is 2342133211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11233124291 and 11233124300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233124327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120784 + ... + 192496.

It is an arithmetic number, because the mean of its divisors is an integer number (304963785).

Almost surely, 211233124320 is an apocalyptic number.

11233124320 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 11233124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638261680).

11233124320 is an abundant number, since it is smaller than the sum of its proper divisors (18043399040).

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

11233124320 is a wasteful number, since it uses less digits than its factorization.

11233124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71828 (or 71820 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11233124320 its reverse (2342133211), we get a palindrome (13575257531).

The spelling of 11233124320 in words is "eleven billion, two hundred thirty-three million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 89 110 160 176 178 220 352 356 440 445 712 880 890 979 1424 1760 1780 1958 2848 3560 3916 4895 7120 7832 9790 14240 15664 19580 31328 39160 71713 78320 143426 156640 286852 358565 573704 717130 788843 1147408 1434260 1577686 2294816 2868520 3155372 3944215 5737040 6310744 6382457 7888430 11474080 12621488 12764914 15776860 25242976 25529828 31553720 31912285 51059656 63107440 63824570 70207027 102119312 126214880 127649140 140414054 204238624 255298280 280828108 351035135 510596560 561656216 702070270 1021193120 1123312432 1404140540 2246624864 2808281080 5616562160 11233124320