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212022211100100 = 223526831034759449
BaseRepresentation
bin110000001101010101000100…
…100100111011110111000100
31000210201010101102210221201220
4300031111010210323313010
5210242232442020200400
62030533354212320340
762442046020504102
oct6015250444736704
91023633342727656
10212022211100100
1161614129838425
121b9433a96130b0
13913c7bb47323b
143a4dd03414c72
15197a2b6ddb7a0
hexc0d54493bdc4

212022211100100 has 72 divisors (see below), whose sum is σ = 614349102578400. Its totient is φ = 56456475482880.

The previous prime is 212022211100087. The next prime is 212022211100111. The reversal of 212022211100100 is 1001112220212.

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 212022211100100.

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, 517174825 + ... + 517584624.

It is an arithmetic number, because the mean of its divisors is an integer number (8532626424700).

Almost surely, 2212022211100100 is an apocalyptic number.

212022211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022211100100 is an abundant number, since it is smaller than the sum of its proper divisors (402326891478300).

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

212022211100100 is a wasteful number, since it uses less digits than its factorization.

212022211100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034760149 (or 1034760142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212022211100100 its reverse (1001112220212), we get a palindrome (213023323320312).

The spelling of 212022211100100 in words is "two hundred twelve trillion, twenty-two billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 683 1366 2049 2732 3415 4098 6830 8196 10245 13660 17075 20490 34150 40980 51225 68300 102450 204900 1034759449 2069518898 3104278347 4139037796 5173797245 6208556694 10347594490 12417113388 15521391735 20695188980 25868986225 31042783470 51737972450 62085566940 77606958675 103475944900 155213917350 310427834700 706740703667 1413481407334 2120222111001 2826962814668 3533703518335 4240444222002 7067407036670 8480888444004 10601110555005 14134814073340 17668517591675 21202221110010 35337035183350 42404442220020 53005552775025 70674070366700 106011105550050 212022211100100