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202122001022000 = 2453193523632127
BaseRepresentation
bin101101111101010000110010…
…000100100111110000110000
3222111122200012202220222011212
4231331100302010213300300
5202443031324230201000
61553513322043455252
760400555415354423
oct5575206204476060
9874580182828155
10202122001022000
11594475062a3744
121a804721227528
1388a203b451ba7
1437caa8549d9ba
1518579cca37c35
hexb7d432127c30

202122001022000 has 80 divisors (see below), whose sum is σ = 491263284375552. Its totient is φ = 80429894553600.

The previous prime is 202122001021981. The next prime is 202122001022041. The reversal of 202122001022000 is 220100221202.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261430064 + ... + 262202063.

Almost surely, 2202122001022000 is an apocalyptic number.

202122001022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122001022000 is an abundant number, since it is smaller than the sum of its proper divisors (289141283353552).

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

202122001022000 is a wasteful number, since it uses less digits than its factorization.

202122001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523632343 (or 523632327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202122001022000 its reverse (220100221202), we get a palindrome (202342101243202).

The spelling of 202122001022000 in words is "two hundred two trillion, one hundred twenty-two billion, one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 386000 523632127 1047264254 2094528508 2618160635 4189057016 5236321270 8378114032 10472642540 13090803175 20945285080 26181606350 41890570160 52363212700 65454015875 101061000511 104726425400 130908031750 202122001022 209452850800 261816063500 404244002044 505305002555 523632127000 808488004088 1010610005110 1047264254000 1616976008176 2021220010220 2526525012775 4042440020440 5053050025550 8084880040880 10106100051100 12632625063875 20212200102200 25265250127750 40424400204400 50530500255500 101061000511000 202122001022000