Search a number
-
+
20121221118 = 2373167275083
BaseRepresentation
bin10010101111010100…
…010111011111111110
31220221021121221100210
4102233110113133332
5312202013033433
613124335333250
71311423362145
oct225724273776
956837557323
1020121221118
1185959a5269
123a96681226
131b8883b5cb
14d8c43c75c
157cb713463
hex4af5177fe

20121221118 has 32 divisors (see below), whose sum is σ = 41038131456. Its totient is φ = 6575560128.

The previous prime is 20121221117. The next prime is 20121221129. The reversal of 20121221118 is 81112212102.

It is a junction number, because it is equal to n+sod(n) for n = 20121221094 and 20121221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64396 + ... + 210687.

It is an arithmetic number, because the mean of its divisors is an integer number (1282441608).

Almost surely, 220121221118 is an apocalyptic number.

20121221118 is an abundant number, since it is smaller than the sum of its proper divisors (20916910338).

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

20121221118 is a wasteful number, since it uses less digits than its factorization.

20121221118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275328.

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 20121221118 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 73 146 167 219 334 438 501 1002 12191 24382 36573 73146 275083 550166 825249 1650498 20081059 40162118 45938861 60243177 91877722 120486354 137816583 275633166 3353536853 6707073706 10060610559 20121221118