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220210011100 = 22529743152673
BaseRepresentation
bin1100110100010110001…
…0100001101111011100
3210001101210222121211001
43031011202201233130
512101442230323400
6245055120440044
721624003132112
oct3150542415734
9701353877731
10220210011100
11854328a0712
1236817a79024
13179c5377a21
14a930233ab2
155adc875a6a
hex33458a1bdc

220210011100 has 72 divisors (see below), whose sum is σ = 483911402688. Its totient is φ = 86972006400.

The previous prime is 220210011083. The next prime is 220210011127. The reversal of 220210011100 is 1110012022.

220210011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4154364 + ... + 4207036.

It is an arithmetic number, because the mean of its divisors is an integer number (6720991704).

Almost surely, 2220210011100 is an apocalyptic number.

220210011100 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 220210011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241955701344).

220210011100 is an abundant number, since it is smaller than the sum of its proper divisors (263701391588).

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

220210011100 is a wasteful number, since it uses less digits than its factorization.

220210011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53215 (or 53208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220210011100 its reverse (1110012022), we get a palindrome (221320023122).

The spelling of 220210011100 in words is "two hundred twenty billion, two hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 431 485 862 970 1724 1940 2155 2425 4310 4850 8620 9700 10775 21550 41807 43100 52673 83614 105346 167228 209035 210692 263365 418070 526730 836140 1045175 1053460 1316825 2090350 2633650 4180700 5109281 5267300 10218562 20437124 22702063 25546405 45404126 51092810 90808252 102185620 113510315 127732025 227020630 255464050 454041260 510928100 567551575 1135103150 2202100111 2270206300 4404200222 8808400444 11010500555 22021001110 44042002220 55052502775 110105005550 220210011100