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110221000000 = 2656110221
BaseRepresentation
bin110011010100110101…
…1101111110101000000
3101112111111020221101021
41212221223233311000
53301213034000000
6122345042315224
710651244020216
oct1465153576500
9345444227337
10110221000000
1142820976741
1219440958b14
13a517227837
1454986b0cb6
152d016ee11a
hex19a9aefd40

110221000000 has 98 divisors (see below), whose sum is σ = 273398727014. Its totient is φ = 44088000000.

The previous prime is 110220999971. The next prime is 110221000007. The reversal of 110221000000 is 122011.

It can be written as a sum of positive squares in 7 ways, for example, as 104246328384 + 5974671616 = 322872^2 + 77296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110221000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 944890 + ... + 1055110.

Almost surely, 2110221000000 is an apocalyptic number.

110221000000 is a gapful number since it is divisible by the number (10) 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 110221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136699363507).

110221000000 is an abundant number, since it is smaller than the sum of its proper divisors (163177727014).

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

110221000000 is an frugal number, since it uses more digits than its factorization.

110221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110263 (or 110228 counting only the distinct ones).

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

Adding to 110221000000 its reverse (122011), we get a palindrome (110221122011).

The spelling of 110221000000 in words is "one hundred ten billion, two hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 110221 125000 200000 220442 250000 440884 500000 551105 881768 1000000 1102210 1763536 2204420 2755525 3527072 4408840 5511050 7054144 8817680 11022100 13777625 17635360 22044200 27555250 35270720 44088400 55110500 68888125 88176800 110221000 137776250 176353600 220442000 275552500 344440625 440884000 551105000 688881250 881768000 1102210000 1377762500 1722203125 2204420000 2755525000 3444406250 4408840000 5511050000 6888812500 11022100000 13777625000 22044200000 27555250000 55110500000 110221000000