Search a number
-
+
22101220212100 = 22521146491927729
BaseRepresentation
bin1010000011001110101110…
…11000010011110110000100
32220020212010000222220012021
411001213113120103312010
510344101244333241400
6115001054351332524
74440521561105101
oct501472730236604
986225100886167
1022101220212100
1170510906a5377
12258b445b21144
13c441a00a7b23
145659c1c3daa8
15284d8427c71a
hex1419d7613d84

22101220212100 has 36 divisors (see below), whose sum is σ = 47960091056500. Its totient is φ = 8840406389760.

The previous prime is 22101220212061. The next prime is 22101220212109. The reversal of 22101220212100 is 121202210122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3854790343044 + 18246429869056 = 1963362^2 + 4271584^2 .

It is not an unprimeable number, because it can be changed into a prime (22101220212109) 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, 10501036 + ... + 12428764.

Almost surely, 222101220212100 is an apocalyptic number.

22101220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101220212100 is an abundant number, since it is smaller than the sum of its proper divisors (25858870844400).

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

22101220212100 is a wasteful number, since it uses less digits than its factorization.

22101220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042392 (or 2042385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22101220212100 its reverse (121202210122), we get a palindrome (22222422422222).

The spelling of 22101220212100 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 114649 229298 458596 573245 1146490 1927729 2292980 2866225 3855458 5732450 7710916 9638645 11464900 19277290 38554580 48193225 96386450 192772900 221012202121 442024404242 884048808484 1105061010605 2210122021210 4420244042420 5525305053025 11050610106050 22101220212100