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22201101100 = 2252537735419
BaseRepresentation
bin10100101011010010…
…011110101100101100
32010022020021210022201
4110223102132230230
5330431440213400
614110554351244
71414110150163
oct245322365454
963266253281
1022201101100
119462a40942
12437712b524
13212a703519
14110876c3da
1589e10406a
hex52b49eb2c

22201101100 has 72 divisors (see below), whose sum is σ = 49157947440. Its totient is φ = 8700007680.

The previous prime is 22201101071. The next prime is 22201101127. The reversal of 22201101100 is 110110222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4094191 + ... + 4099609.

It is an arithmetic number, because the mean of its divisors is an integer number (682749270).

Almost surely, 222201101100 is an apocalyptic number.

22201101100 is a gapful number since it is divisible by the number (20) 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 22201101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578973720).

22201101100 is an abundant number, since it is smaller than the sum of its proper divisors (26956846340).

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

22201101100 is a wasteful number, since it uses less digits than its factorization.

22201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22201101100 its reverse (110110222), we get a palindrome (22311211322).

The spelling of 22201101100 in words is "twenty-two billion, two hundred one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 773 1060 1325 1546 2650 3092 3865 5300 5419 7730 10838 15460 19325 21676 27095 38650 40969 54190 77300 81938 108380 135475 163876 204845 270950 287207 409690 541900 574414 819380 1024225 1148828 1436035 2048450 2872070 4096900 4188887 5744140 7180175 8377774 14360350 16755548 20944435 28720700 41888870 83777740 104722175 209444350 222011011 418888700 444022022 888044044 1110055055 2220110110 4440220220 5550275275 11100550550 22201101100