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213220221100 = 225219367330553
BaseRepresentation
bin1100011010010011101…
…0100110000010101100
3202101100200110111111221
43012210322212002230
511443133334033400
6241541345153124
721255536655445
oct3064472460254
9671320414457
10213220221100
118247628aa67
12353a702b7a4
1317150208103
14a469bb42cc
15582ddc6c1a
hex31a4ea60ac

213220221100 has 72 divisors (see below), whose sum is σ = 487188418640. Its totient is φ = 80774599680.

The previous prime is 213220221089. The next prime is 213220221163. The reversal of 213220221100 is 1122022312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6963424 + ... + 6993976.

Almost surely, 2213220221100 is an apocalyptic number.

213220221100 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 213220221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243594209320).

213220221100 is an abundant number, since it is smaller than the sum of its proper divisors (273968197540).

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

213220221100 is a wasteful number, since it uses less digits than its factorization.

213220221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34259 (or 34252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213220221100 its reverse (1122022312), we get a palindrome (214342243412).

The spelling of 213220221100 in words is "two hundred thirteen billion, two hundred twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3673 7346 14692 18365 30553 36730 61106 69787 73460 91825 122212 139574 152765 183650 279148 305530 348935 367300 580507 611060 697870 763825 1161014 1395740 1527650 1744675 2322028 2902535 3055300 3489350 5805070 6978700 11610140 14512675 29025350 58050700 112221169 224442338 448884676 561105845 1122211690 2132202211 2244423380 2805529225 4264404422 5611058450 8528808844 10661011055 11222116900 21322022110 42644044220 53305055275 106610110550 213220221100