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1100032220133 = 34711216033819
BaseRepresentation
bin10000000000011111000…
…001111001101111100101
310220011101010200201110000
4100000133001321233211
5121010331222021013
62201203044051513
7142321552410540
oct20003701715745
93804333621400
101100032220133
11394580568500
1215923a693b99
137c96a679942
143b355893857
151d933717973
hex1001f079be5

1100032220133 has 60 divisors (see below), whose sum is σ = 2064258122080. Its totient is φ = 571445273520.

The previous prime is 1100032220129. The next prime is 1100032220149. The reversal of 1100032220133 is 3310222300011.

1100032220133 is a `hidden beast` number, since 110 + 0 + 0 + 322 + 201 + 33 = 666.

It is not a de Polignac number, because 1100032220133 - 22 = 1100032220129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100032220233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7948303 + ... + 8085516.

Almost surely, 21100032220133 is an apocalyptic number.

It is an amenable number.

1100032220133 is a deficient number, since it is larger than the sum of its proper divisors (964225901947).

1100032220133 is a wasteful number, since it uses less digits than its factorization.

1100032220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16033860 (or 16033840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100032220133 its reverse (3310222300011), we get a palindrome (4410254520144).

The spelling of 1100032220133 in words is "one trillion, one hundred billion, thirty-two million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 121 189 231 297 363 567 693 847 891 1089 2079 2541 3267 6237 7623 9801 22869 68607 16033819 48101457 112236733 144304371 176372009 336710199 432913113 529116027 1010130597 1234604063 1298739339 1587348081 1940092099 3030391791 3703812189 4762044243 5820276297 9091175373 11111436567 13580644693 14286132729 17460828891 33334309701 40741934079 52382486673 100002929103 122225802237 157147460019 366677406711 1100032220133