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10000221100 = 2252176918513
BaseRepresentation
bin10010101000000111…
…10100001110101100
3221210221011212102021
421110003310032230
5130440024033400
64332151235524
7502546322362
oct112403641654
927727155367
1010000221100
114271956141
121b31078ba4
13c34a66cbc
146ac1bd632
153d7e0371a
hex2540f43ac

10000221100 has 72 divisors (see below), whose sum is σ = 23012933328. Its totient is φ = 3758899200.

The previous prime is 10000221097. The next prime is 10000221131. The reversal of 10000221100 is 112200001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170444 + ... + 1178956.

It is an arithmetic number, because the mean of its divisors is an integer number (319624074).

Almost surely, 210000221100 is an apocalyptic number.

10000221100 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 10000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506466664).

10000221100 is an abundant number, since it is smaller than the sum of its proper divisors (13012712228).

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

10000221100 is a wasteful number, since it uses less digits than its factorization.

10000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9228 counting only the distinct ones).

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

Adding to 10000221100 its reverse (112200001), we get a palindrome (10112421101).

The spelling of 10000221100 in words is "ten billion, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 691 850 1382 1700 2764 3455 6910 8513 11747 13820 17026 17275 23494 34052 34550 42565 46988 58735 69100 85130 117470 144721 170260 212825 234940 289442 293675 425650 578884 587350 723605 851300 1174700 1447210 2894420 3618025 5882483 7236050 11764966 14472100 23529932 29412415 58824830 100002211 117649660 147062075 200004422 294124150 400008844 500011055 588248300 1000022110 2000044220 2500055275 5000110550 10000221100