Search a number
-
+
21011221200 = 2435217509351
BaseRepresentation
bin10011100100010111…
…011100101011010000
32000020022022121221210
4103210113130223100
5321012333034300
613352531220120
71342451301444
oct234427345320
960208277853
1021011221200
118a02317522
1240a4747640
131c9b043488
141034714824
1582e917050
hex4e45dcad0

21011221200 has 60 divisors (see below), whose sum is σ = 67305949088. Its totient is φ = 5602992000.

The previous prime is 21011221181. The next prime is 21011221223. The reversal of 21011221200 is 212211012.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8753476 + ... + 8755875.

Almost surely, 221011221200 is an apocalyptic number.

21011221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011221200 is an abundant number, since it is smaller than the sum of its proper divisors (46294727888).

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

21011221200 is a wasteful number, since it uses less digits than its factorization.

21011221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17509372 (or 17509361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21011221200 its reverse (212211012), we get a palindrome (21223432212).

The spelling of 21011221200 in words is "twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17509351 35018702 52528053 70037404 87546755 105056106 140074808 175093510 210112212 262640265 280149616 350187020 420224424 437733775 525280530 700374040 840448848 875467550 1050561060 1313201325 1400748080 1750935100 2101122120 2626402650 3501870200 4202244240 5252805300 7003740400 10505610600 21011221200