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202122113300 = 22522021221133
BaseRepresentation
bin1011110000111101101…
…0101011000100010100
3201022201020102012200022
42330033122223010110
511302421230111200
6232504214204312
720413526421152
oct2741732530424
9638636365608
10202122113300
11787a0733348
123320a353698
13160a1b80313
149ad5c863d2
1553ce908885
hex2f0f6ab114

202122113300 has 18 divisors (see below), whose sum is σ = 438604986078. Its totient is φ = 80848845280.

The previous prime is 202122113279. The next prime is 202122113317. The reversal of 202122113300 is 3311221202.

202122113300 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 3273899524 + 198848213776 = 57218^2 + 445924^2 .

It is a congruent number.

It is an unprimeable number.

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, 1010610467 + ... + 1010610666.

It is an arithmetic number, because the mean of its divisors is an integer number (24366943671).

Almost surely, 2202122113300 is an apocalyptic number.

202122113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122113300 is an abundant number, since it is smaller than the sum of its proper divisors (236482872778).

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

202122113300 is a wasteful number, since it uses less digits than its factorization.

202122113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021221147 (or 2021221140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 202122113300 its reverse (3311221202), we get a palindrome (205433334502).

The spelling of 202122113300 in words is "two hundred two billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2021221133 4042442266 8084884532 10106105665 20212211330 40424422660 50530528325 101061056650 202122113300