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202020202201121 = 61109149262177801
BaseRepresentation
bin101101111011110001111110…
…011000111100000000100001
3222111021221110020111001120122
4231323301332120330000201
5202434344333230413441
61553354444421450025
760360322636562243
oct5573617630740041
9874257406431518
10202020202201121
1159408317539917
121a7a8a50b70915
138895567075cc5
1437c5b89592093
15185502092934b
hexb7bc7e63c021

202020202201121 has 32 divisors (see below), whose sum is σ = 208688771412000. Its totient is φ = 195486877440000.

The previous prime is 202020202201067. The next prime is 202020202201199. The reversal of 202020202201121 is 121102202020202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 66905267230096 + 135114934971025 = 8179564^2 + 11623895^2 .

It is a cyclic number.

It is not a de Polignac number, because 202020202201121 - 26 = 202020202201057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202020202201121.

It is not an unprimeable number, because it can be changed into a prime (202020202203121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596588421 + ... + 2596666221.

It is an arithmetic number, because the mean of its divisors is an integer number (6521524106625).

Almost surely, 2202020202201121 is an apocalyptic number.

It is an amenable number.

202020202201121 is a deficient number, since it is larger than the sum of its proper divisors (6668569210879).

202020202201121 is a wasteful number, since it uses less digits than its factorization.

202020202201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80741.

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

Adding to 202020202201121 its reverse (121102202020202), we get a palindrome (323122404221323).

The spelling of 202020202201121 in words is "two hundred two trillion, twenty billion, two hundred two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 61 109 149 2621 6649 9089 16241 77801 159881 285689 390529 990701 4745861 8480309 11592349 17427029 23822269 42567661 203916421 517298849 707133289 1263566041 2596627321 12438901681 22226889889 30383546729 77077528501 1355840283229 1853396350469 3311806593461 202020202201121