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21021111100 = 22521129658969
BaseRepresentation
bin10011100100111101…
…001011001100111100
32000020222221002100101
4103210331023030330
5321022401023400
613353523210444
71342631332123
oct234475131474
960228832311
1021021111100
118a079619a0
1240a7b16a24
131ca00c6ba2
141035b6aaba
1583071c56a
hex4e4f4b33c

21021111100 has 72 divisors (see below), whose sum is σ = 51478736400. Its totient is φ = 7380441600.

The previous prime is 21021111049. The next prime is 21021111131. The reversal of 21021111100 is 111112012.

It is a super-2 number, since 2×210211111002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 297585 + ... + 361384.

It is an arithmetic number, because the mean of its divisors is an integer number (714982450).

Almost surely, 221021111100 is an apocalyptic number.

21021111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021111100 is an abundant number, since it is smaller than the sum of its proper divisors (30457625300).

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

21021111100 is a wasteful number, since it uses less digits than its factorization.

21021111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659023 (or 659016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21021111100 its reverse (111112012), we get a palindrome (21132223112).

The spelling of 21021111100 in words is "twenty-one billion, twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 658969 1317938 2635876 3294845 6589690 7248659 13179380 14497318 16474225 19110101 28994636 32948450 36243295 38220202 65896900 72486590 76440404 95550505 144973180 181216475 191101010 210211111 362432950 382202020 420422222 477752525 724865900 840844444 955505050 1051055555 1911010100 2102111110 4204222220 5255277775 10510555550 21021111100