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11122330000 = 24548912497
BaseRepresentation
bin10100101101111000…
…10100100110010000
31001201010121220110011
422112330110212100
5140234304030000
65035354044304
7542423150035
oct122674244620
931633556404
1011122330000
1147982a1171
1221a4a19694
131083388c72
1477723538c
154516a52ba
hex296f14990

11122330000 has 100 divisors (see below), whose sum is σ = 27233017020. Its totient is φ = 4398592000.

The previous prime is 11122329989. The next prime is 11122330007. The reversal of 11122330000 is 3322111.

It can be written as a sum of positive squares in 10 ways, for example, as 9793873296 + 1328456704 = 98964^2 + 36448^2 .

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11122330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 883752 + ... + 896248.

Almost surely, 211122330000 is an apocalyptic number.

11122330000 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 11122330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616508510).

11122330000 is an abundant number, since it is smaller than the sum of its proper divisors (16110687020).

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

11122330000 is an equidigital number, since it uses as much as digits as its factorization.

11122330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11122330000 its reverse (3322111), we get a palindrome (11125652111).

The spelling of 11122330000 in words is "eleven billion, one hundred twenty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3560 4450 5000 7120 8900 10000 11125 12497 17800 22250 24994 35600 44500 49988 55625 62485 89000 99976 111250 124970 178000 199952 222500 249940 312425 445000 499880 624850 890000 999760 1112233 1249700 1562125 2224466 2499400 3124250 4448932 4998800 5561165 6248500 7810625 8897864 11122330 12497000 15621250 17795728 22244660 24994000 27805825 31242500 44489320 55611650 62485000 88978640 111223300 124970000 139029125 222446600 278058250 444893200 556116500 695145625 1112233000 1390291250 2224466000 2780582500 5561165000 11122330000