Search a number
-
+
21230100 = 2234522621
BaseRepresentation
bin101000011111…
…1001000010100
31110221121020000
41100333020110
520413330400
62035011300
7345311223
oct120771024
943847200
1021230100
1110a90541
127139b30
1345242b8
142b68cba
151ce5600
hex143f214

21230100 has 90 divisors (see below), whose sum is σ = 68845854. Its totient is φ = 5659200.

The previous prime is 21230047. The next prime is 21230123. The reversal of 21230100 is 103212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 17589636 = 1908^2 + 4194^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6790 + ... + 9410.

Almost surely, 221230100 is an apocalyptic number.

21230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422927).

21230100 is an abundant number, since it is smaller than the sum of its proper divisors (47615754).

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

21230100 is a wasteful number, since it uses less digits than its factorization.

21230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21230100 is about 4607.6132650213. The cubic root of 21230100 is about 276.8964237168.

Adding to 21230100 its reverse (103212), we get a palindrome (21333312).

The spelling of 21230100 in words is "twenty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2621 2700 4050 5242 7863 8100 10484 13105 15726 23589 26210 31452 39315 47178 52420 65525 70767 78630 94356 117945 131050 141534 157260 196575 212301 235890 262100 283068 353835 393150 424602 471780 589725 707670 786300 849204 1061505 1179450 1415340 1769175 2123010 2358900 3538350 4246020 5307525 7076700 10615050 21230100