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221000110000 = 245447470213
BaseRepresentation
bin1100110111010010100…
…0100000111110110000
3210010102212200210202021
43031310220200332300
512110102012010000
6245305343201224
721652405640335
oct3156450407660
9703385623667
10221000110000
11857a888970a
12369b85a6214
1317abcc72077
14a9a714298c
155b36de411a
hex3374a20fb0

221000110000 has 100 divisors (see below), whose sum is σ = 546448855392. Its totient is φ = 86519008000.

The previous prime is 221000109997. The next prime is 221000110027. The reversal of 221000110000 is 11000122.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234894 + ... + 705106.

Almost surely, 2221000110000 is an apocalyptic number.

221000110000 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 221000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273224427696).

221000110000 is an abundant number, since it is smaller than the sum of its proper divisors (325448745392).

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

221000110000 is an equidigital number, since it uses as much as digits as its factorization.

221000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470288 (or 470267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 221000110000 its reverse (11000122), we get a palindrome (221011110122).

The spelling of 221000110000 in words is "two hundred twenty-one billion, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 625 752 940 1000 1175 1250 1880 2000 2350 2500 3760 4700 5000 5875 9400 10000 11750 18800 23500 29375 47000 58750 94000 117500 235000 470000 470213 940426 1880852 2351065 3761704 4702130 7523408 9404260 11755325 18808520 22100011 23510650 37617040 44200022 47021300 58776625 88400044 94042600 110500055 117553250 176800088 188085200 221000110 235106500 293883125 353600176 442000220 470213000 552500275 587766250 884000440 940426000 1105000550 1175532500 1768000880 2210001100 2351065000 2762501375 4420002200 4702130000 5525002750 8840004400 11050005500 13812506875 22100011000 27625013750 44200022000 55250027500 110500055000 221000110000