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110133022332021 = 313181177726993253
BaseRepresentation
bin11001000010101001010111…
…101011001001010001110101
3112102221121120200112101211220
4121002221113223021101311
5103413404412204111041
61030122224554020553
732124563650630533
oct3102512753112165
9472847520471756
10110133022332021
1132101174a43087
1210428626417759
13495b665379220
141d2a676987153
15caec2ca7bd66
hex642a57ac9475

110133022332021 has 64 divisors (see below), whose sum is σ = 159210785260800. Its totient is φ = 67316137758720.

The previous prime is 110133022332013. The next prime is 110133022332029. The reversal of 110133022332021 is 120233220331011.

It is an interprime number because it is at equal distance from previous prime (110133022332013) and next prime (110133022332029).

It is not a de Polignac number, because 110133022332021 - 23 = 110133022332013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110133022331982 and 110133022332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110133022332029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33855830631 + ... + 33855833883.

It is an arithmetic number, because the mean of its divisors is an integer number (2487668519700).

Almost surely, 2110133022332021 is an apocalyptic number.

It is an amenable number.

110133022332021 is a deficient number, since it is larger than the sum of its proper divisors (49077762928779).

110133022332021 is a wasteful number, since it uses less digits than its factorization.

110133022332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 110133022332021 its reverse (120233220331011), we get a palindrome (230366242663032).

The spelling of 110133022332021 in words is "one hundred ten trillion, one hundred thirty-three billion, twenty-two million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 13 39 181 543 1777 2353 2699 3253 5331 7059 8097 9759 23101 35087 42289 69303 105261 126867 321637 488519 588793 964911 1465557 1766379 4181281 4796123 5780581 6350747 7654309 8779847 12543843 14388369 17341743 19052241 22962927 26339541 62349599 75147553 114138011 187048797 225442659 342414033 868098263 1046285161 1589152307 2604294789 3138855483 4767456921 11285277419 13601707093 15601788119 20658979991 33855832257 40805121279 46805364357 61976939973 202823245547 608469736641 2823923649539 8471770948617 36711007444007 110133022332021