Search a number
-
+
20220212100 = 22352116127337
BaseRepresentation
bin10010110101001101…
…111111001110000100
31221012011220012110110
4102311031333032010
5312402333241400
613142233153020
71314034652454
oct226515771604
957164805413
1020220212100
1186368676a0
123b0385b770
131ba31baa5a
14d9b649d64
157d5268e50
hex4b537f384

20220212100 has 72 divisors (see below), whose sum is σ = 63822352608. Its totient is φ = 4901868800.

The previous prime is 20220212083. The next prime is 20220212119. The reversal of 20220212100 is 121202202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 3060369 + ... + 3066968.

It is an arithmetic number, because the mean of its divisors is an integer number (886421564).

Almost surely, 220220212100 is an apocalyptic number.

20220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220212100 is an abundant number, since it is smaller than the sum of its proper divisors (43602140508).

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

20220212100 is a wasteful number, since it uses less digits than its factorization.

20220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127365 (or 6127358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20220212100 its reverse (121202202), we get a palindrome (20341414302).

The spelling of 20220212100 in words is "twenty billion, two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6127337 12254674 18382011 24509348 30636685 36764022 61273370 67400707 73528044 91910055 122546740 134801414 153183425 183820110 202202121 269602828 306366850 337003535 367640220 404404242 459550275 612733700 674007070 808808484 919100550 1011010605 1348014140 1685017675 1838201100 2022021210 3370035350 4044042420 5055053025 6740070700 10110106050 20220212100