Search a number
-
+
21003311200 = 2552227115657
BaseRepresentation
bin10011100011111001…
…010001100001100000
32000012202102202110211
4103203321101201200
5321003321424300
613352045503504
71342324125304
oct234371214140
960182382424
1021003311200
1189a8904633
1240a1b71b94
131c99503cc1
141033655d04
1582dda34ba
hex4e3e51860

21003311200 has 72 divisors (see below), whose sum is σ = 51500656872. Its totient is φ = 8364241920.

The previous prime is 21003311129. The next prime is 21003311201. The reversal of 21003311200 is 211330012.

It is a super-2 number, since 2×210033112002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003311201) 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, 123772 + ... + 239428.

It is an arithmetic number, because the mean of its divisors is an integer number (715286901).

Almost surely, 221003311200 is an apocalyptic number.

21003311200 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 21003311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750328436).

21003311200 is an abundant number, since it is smaller than the sum of its proper divisors (30497345672).

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

21003311200 is a wasteful number, since it uses less digits than its factorization.

21003311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115904 (or 115891 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21003311200 its reverse (211330012), we get a palindrome (21214641212).

The spelling of 21003311200 in words is "twenty-one billion, three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 227 400 454 800 908 1135 1816 2270 3632 4540 5675 7264 9080 11350 18160 22700 36320 45400 90800 115657 181600 231314 462628 578285 925256 1156570 1850512 2313140 2891425 3701024 4626280 5782850 9252560 11565700 18505120 23131400 26254139 46262800 52508278 92525600 105016556 131270695 210033112 262541390 420066224 525082780 656353475 840132448 1050165560 1312706950 2100331120 2625413900 4200662240 5250827800 10501655600 21003311200