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101212221200 = 24521012505253
BaseRepresentation
bin101111001000010110…
…1111110111100010000
3100200020122122120010012
41132100231332330100
53124240312034300
6114255105054052
710212063454046
oct1362055767420
9320218576105
10101212221200
1139a18729902
1217747927328
13970c9c27ac
144c82052396
15297588b435
hex1790b7ef10

101212221200 has 60 divisors (see below), whose sum is σ = 245570007588. Its totient is φ = 40084032000.

The previous prime is 101212221181. The next prime is 101212221233. The reversal of 101212221200 is 2122212101.

It can be written as a sum of positive squares in 6 ways, for example, as 8993108224 + 92219112976 = 94832^2 + 303676^2 .

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, 1212227 + ... + 1293026.

Almost surely, 2101212221200 is an apocalyptic number.

101212221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212221200 is an abundant number, since it is smaller than the sum of its proper divisors (144357786388).

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

101212221200 is a wasteful number, since it uses less digits than its factorization.

101212221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505372 (or 2505361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212221200 its reverse (2122212101), we get a palindrome (103334433301).

Subtracting from 101212221200 its reverse (2122212101), we obtain a palindrome (99090009099).

The spelling of 101212221200 in words is "one hundred one billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 2505253 5010506 10021012 12526265 20042024 25052530 40084048 50105060 62631325 100210120 125262650 200420240 250525300 253030553 501050600 506061106 1002101200 1012122212 1265152765 2024244424 2530305530 4048488848 5060611060 6325763825 10121222120 12651527650 20242444240 25303055300 50606110600 101212221200