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10223211120 = 24351723108943
BaseRepresentation
bin10011000010101100…
…11101001001110000
3222101110202221012220
421201112131021300
5131414120223440
64410234521040
7511224601143
oct114126351160
928343687186
1010223211120
114376810911
121b93896180
13c6c010665
146cda6805a
153ec79e8d0
hex26159d270

10223211120 has 160 divisors (see below), whose sum is σ = 35015473152. Its totient is φ = 2454245376.

The previous prime is 10223211101. The next prime is 10223211121. The reversal of 10223211120 is 2111232201.

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 10223211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223211121) 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, 39369 + ... + 148311.

Almost surely, 210223211120 is an apocalyptic number.

10223211120 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 10223211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507736576).

10223211120 is an abundant number, since it is smaller than the sum of its proper divisors (24792262032).

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

10223211120 is a wasteful number, since it uses less digits than its factorization.

10223211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108999 (or 108993 counting only the distinct ones).

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

Adding to 10223211120 its reverse (2111232201), we get a palindrome (12334443321).

The spelling of 10223211120 in words is "ten billion, two hundred twenty-three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 340 345 368 391 408 460 510 552 680 690 782 816 920 1020 1104 1173 1360 1380 1564 1840 1955 2040 2346 2760 3128 3910 4080 4692 5520 5865 6256 7820 9384 11730 15640 18768 23460 31280 46920 93840 108943 217886 326829 435772 544715 653658 871544 1089430 1307316 1634145 1743088 1852031 2178860 2505689 2614632 3268290 3704062 4357720 5011378 5229264 5556093 6536580 7408124 7517067 8715440 9260155 10022756 11112186 12528445 13073160 14816248 15034134 18520310 20045512 22224372 25056890 26146320 27780465 29632496 30068268 37040620 37585335 40091024 42596713 44448744 50113780 55560930 60136536 74081240 75170670 85193426 88897488 100227560 111121860 120273072 127790139 148162480 150341340 170386852 200455120 212983565 222243720 255580278 300682680 340773704 425967130 444487440 511160556 601365360 638950695 681547408 851934260 1022321112 1277901390 1703868520 2044642224 2555802780 3407737040 5111605560 10223211120