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201002212221200 = 24521338654271581
BaseRepresentation
bin101101101100111101111001…
…011101010110000100010000
3222100200121211202201222000222
4231230331321131112010100
5202321210012312034300
61551255050323332212
760223634124533165
oct5554757135260420
9870617752658028
10201002212221200
1159055617755825
121a6636aa221068
138820572977940
14378c7b7baa06c
1518387deb38785
hexb6cf79756110

201002212221200 has 60 divisors (see below), whose sum is σ = 520054569864228. Its totient is φ = 74216201433600.

The previous prime is 201002212221137. The next prime is 201002212221233. The reversal of 201002212221200 is 2122212200102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61525072939264 + 139477139281936 = 7843792^2 + 11810044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19327130591 + ... + 19327140990.

Almost surely, 2201002212221200 is an apocalyptic number.

201002212221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002212221200 is an abundant number, since it is smaller than the sum of its proper divisors (319052357643028).

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

201002212221200 is a wasteful number, since it uses less digits than its factorization.

201002212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38654271612 (or 38654271601 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201002212221200 its reverse (2122212200102), we get a palindrome (203124424421302).

The spelling of 201002212221200 in words is "two hundred one trillion, two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 38654271581 77308543162 154617086324 193271357905 309234172648 386542715810 502505530553 618468345296 773085431620 966356789525 1005011061106 1546170863240 1932713579050 2010022122212 2512527652765 3092341726480 3865427158100 4020044244424 5025055305530 7730854316200 8040088488848 10050110611060 12562638263825 15461708632400 20100221222120 25125276527650 40200442444240 50250553055300 100501106110600 201002212221200