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20212210100 = 2252972083733
BaseRepresentation
bin10010110100101111…
…011101100110110100
31221011121211122210002
4102310233131212310
5312343311210400
613141345450432
71313606644145
oct226457354664
957147748702
1020212210100
1186322a1675
123b01040a18
131ba1648744
14d9a565acc
157d46d7ed5
hex4b4bdd9b4

20212210100 has 36 divisors (see below), whose sum is σ = 44312687244. Its totient is φ = 8001530880.

The previous prime is 20212210099. The next prime is 20212210103. The reversal of 20212210100 is 101221202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3818992804 + 16393217296 = 61798^2 + 128036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212210103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032167 + ... + 1051566.

It is an arithmetic number, because the mean of its divisors is an integer number (1230907979).

Almost surely, 220212210100 is an apocalyptic number.

20212210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212210100 is an abundant number, since it is smaller than the sum of its proper divisors (24100477144).

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

20212210100 is a wasteful number, since it uses less digits than its factorization.

20212210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083844 (or 2083837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212210100 its reverse (101221202), we get a palindrome (20313431302).

The spelling of 20212210100 in words is "twenty billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 2083733 4167466 8334932 10418665 20837330 41674660 52093325 104186650 202122101 208373300 404244202 808488404 1010610505 2021221010 4042442020 5053052525 10106105050 20212210100