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11022100000 = 2555110221
BaseRepresentation
bin10100100001111011…
…11110011000100000
31001110011000200201221
422100331332120200
5140033124200000
65021413504424
7540065206222
oct122075763040
931404020657
1011022100000
11474676295a
122177342114
131068694882
14767bc4412
154479a761a
hex290f7e620

11022100000 has 72 divisors (see below), whose sum is σ = 27123209316. Its totient is φ = 4408800000.

The previous prime is 11022099961. The next prime is 11022100031. The reversal of 11022100000 is 122011.

It can be written as a sum of positive squares in 6 ways, for example, as 3077586576 + 7944513424 = 55476^2 + 89132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44890 + ... + 155110.

Almost surely, 211022100000 is an apocalyptic number.

11022100000 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 11022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561604658).

11022100000 is an abundant number, since it is smaller than the sum of its proper divisors (16101109316).

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

11022100000 is an frugal number, since it uses more digits than its factorization.

11022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110256 (or 110228 counting only the distinct ones).

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

Adding to 11022100000 its reverse (122011), we get a palindrome (11022222011).

The spelling of 11022100000 in words is "eleven billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 110221 220442 440884 551105 881768 1102210 1763536 2204420 2755525 3527072 4408840 5511050 8817680 11022100 13777625 17635360 22044200 27555250 44088400 55110500 68888125 88176800 110221000 137776250 220442000 275552500 344440625 440884000 551105000 688881250 1102210000 1377762500 2204420000 2755525000 5511050000 11022100000