Search a number
-
+
202021212100 = 22522020212121
BaseRepresentation
bin1011110000100101100…
…1110000111111000100
3201022110012112220020211
42330021121300333010
511302214412241400
6232450211405204
720411162653441
oct2741131607704
9638405486224
10202021212100
1178749786824
12331a05b3804
1316086cb2576
149ac66dc9c8
1553c5b26dba
hex2f09670fc4

202021212100 has 18 divisors (see below), whose sum is σ = 438386030474. Its totient is φ = 80808484800.

The previous prime is 202021212079. The next prime is 202021212109. The reversal of 202021212100 is 1212120202.

It is a happy number.

202021212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 23957467524 + 178063744576 = 154782^2 + 421976^2 .

It is not an unprimeable number, because it can be changed into a prime (202021212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010105961 + ... + 1010106160.

Almost surely, 2202021212100 is an apocalyptic number.

202021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021212100 is an abundant number, since it is smaller than the sum of its proper divisors (236364818374).

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

202021212100 is a wasteful number, since it uses less digits than its factorization.

202021212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020212135 (or 2020212128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202021212100 its reverse (1212120202), we get a palindrome (203233332302).

The spelling of 202021212100 in words is "two hundred two billion, twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2020212121 4040424242 8080848484 10101060605 20202121210 40404242420 50505303025 101010606050 202021212100