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1100222321133 = 3133716344310559
BaseRepresentation
bin10000000000101010010…
…111000101000111101101
310220011212101101211222210
4100000222113011013231
5121011223403234013
62201233554401033
7142326351266055
oct20005227050755
93804771354883
101100222321133
113946688aa171
12159292290179
137c99ab79340
143b372c1a565
151d945268cc3
hex1002a5c51ed

1100222321133 has 64 divisors (see below), whose sum is σ = 1636297850880. Its totient is φ = 653179707648.

The previous prime is 1100222321131. The next prime is 1100222321137. The reversal of 1100222321133 is 3311232220011.

It is not a de Polignac number, because 1100222321133 - 21 = 1100222321131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100222321131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 104192308 + ... + 104202866.

It is an arithmetic number, because the mean of its divisors is an integer number (25567153920).

Almost surely, 21100222321133 is an apocalyptic number.

1100222321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1100222321133 is a deficient number, since it is larger than the sum of its proper divisors (536075529747).

1100222321133 is a wasteful number, since it uses less digits than its factorization.

1100222321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1100222321133 its reverse (3311232220011), we get a palindrome (4411454541144).

The spelling of 1100222321133 in words is "one trillion, one hundred billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 13 37 39 111 163 443 481 489 1329 1443 2119 5759 6031 6357 10559 16391 17277 18093 31677 49173 72209 78403 137267 213083 216627 235209 390683 411801 639249 938717 1172049 1721117 2671733 2816151 4677637 5078879 5163351 8015199 14032911 15236637 22374521 34732529 60809281 63681329 67123563 104197587 173072569 182427843 191043987 519217707 762454831 827857277 2249943397 2287364493 2483571831 6749830191 9911912803 28210828747 29735738409 84632486241 366740773711 1100222321133