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1100221210010 = 251354122137069
BaseRepresentation
bin10000000000101010010…
…010110101110110011010
310220011212022022101211002
4100000222102311312122
5121011223112210020
62201233514505002
7142326335660456
oct20005222656632
93804768271732
101100221210010
1139466821038a
12159291a35162
137c99a87a680
143b372a0b666
151d9450e9975
hex1002a4b5d9a

1100221210010 has 64 divisors (see below), whose sum is σ = 2137946620320. Its totient is φ = 405244062720.

The previous prime is 1100221209979. The next prime is 1100221210031. The reversal of 1100221210010 is 100121220011.

It can be written as a sum of positive squares in 16 ways, for example, as 128393939041 + 971827270969 = 358321^2 + 985813^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100221209973 and 1100221210000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155636756 + ... + 155643824.

Almost surely, 21100221210010 is an apocalyptic number.

1100221210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100221210010 is a deficient number, since it is larger than the sum of its proper divisors (1037725410310).

1100221210010 is a wasteful number, since it uses less digits than its factorization.

1100221210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100221210010 its reverse (100121220011), we get a palindrome (1200342430021).

The spelling of 1100221210010 in words is "one trillion, one hundred billion, two hundred twenty-one million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 541 1082 2213 2705 4426 5410 7033 7069 11065 14066 14138 22130 28769 35165 35345 57538 70330 70690 91897 143845 183794 287690 459485 918970 1197233 2394466 3824329 5986165 7648658 11972330 15564029 15643697 19121645 31128058 31287394 38243290 49716277 77820145 78218485 99432554 155640290 156436970 203368061 248581385 406736122 497162770 1016840305 2033680610 8463240077 16926480154 42316200385 84632400770 110022121001 220044242002 550110605005 1100221210010