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12220202210100 = 22352197206771611
BaseRepresentation
bin1011000111010011110011…
…0011111101001100110100
31121021020110220101101122120
42301310330303331030310
53100203433231210400
641553514451355540
72400611000634153
oct261647463751464
947236426341576
1012220202210100
113991616627505
121454434bb2bb0
136a848b265921
14303664b8159a
15162d1ec54ca0
hexb1d3ccfd334

12220202210100 has 72 divisors (see below), whose sum is σ = 35536596324768. Its totient is φ = 3242178844800.

The previous prime is 12220202210089. The next prime is 12220202210101. The reversal of 12220202210100 is 101220202221.

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 12220202210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220202210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103326706 + ... + 103444905.

It is an arithmetic number, because the mean of its divisors is an integer number (493563837844).

Almost surely, 212220202210100 is an apocalyptic number.

12220202210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202210100 is an abundant number, since it is smaller than the sum of its proper divisors (23316394114668).

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

12220202210100 is a wasteful number, since it uses less digits than its factorization.

12220202210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206771825 (or 206771818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12220202210100 its reverse (101220202221), we get a palindrome (12321422412321).

The spelling of 12220202210100 in words is "twelve trillion, two hundred twenty billion, two hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 206771611 413543222 620314833 827086444 1033858055 1240629666 2067716110 2481259332 3101574165 4135432220 5169290275 6203148330 10338580550 12406296660 15507870825 20677161100 31015741650 40734007367 62031483300 81468014734 122202022101 162936029468 203670036835 244404044202 407340073670 488808088404 611010110505 814680147340 1018350184175 1222020221010 2036700368350 2444040442020 3055050552525 4073400736700 6110101105050 12220202210100