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21200011100 = 22521012837417
BaseRepresentation
bin10011101111100111…
…100111111101011100
32000201110120011000022
4103233213213331130
5321404200323400
613423353451312
71350233056352
oct235747477534
960643504008
1021200011100
118a99943134
124137a10b38
131ccb1a4188
1410518197d2
158412a9b85
hex4ef9e7f5c

21200011100 has 72 divisors (see below), whose sum is σ = 46629963408. Its totient is φ = 8365248000.

The previous prime is 21200011069. The next prime is 21200011117. The reversal of 21200011100 is 111000212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854592 + ... + 2862008.

Almost surely, 221200011100 is an apocalyptic number.

21200011100 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 21200011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314981704).

21200011100 is an abundant number, since it is smaller than the sum of its proper divisors (25429952308).

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

21200011100 is a wasteful number, since it uses less digits than its factorization.

21200011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21200011100 its reverse (111000212), we get a palindrome (21311011312).

The spelling of 21200011100 in words is "twenty-one billion, two hundred million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 283 404 505 566 1010 1132 1415 2020 2525 2830 5050 5660 7075 7417 10100 14150 14834 28300 28583 29668 37085 57166 74170 114332 142915 148340 185425 285830 370850 571660 714575 741700 749117 1429150 1498234 2099011 2858300 2996468 3745585 4198022 7491170 8396044 10495055 14982340 18727925 20990110 37455850 41980220 52475275 74911700 104950550 209901100 212000111 424000222 848000444 1060000555 2120001110 4240002220 5300002775 10600005550 21200011100