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21100022101323 = 33111925114897011
BaseRepresentation
bin1001100110000101110110…
…10100100111010101001011
32202201010211211010010201000
410303002323110213111023
510231200321124220243
6112513114421230043
74305266134426524
oct463027324472513
982633754103630
1021100022101323
1167a5518444090
1224493aa862323
13ba09538299c9
1452d36463984b
15268cd77505d3
hex1330bb52754b

21100022101323 has 64 divisors (see below), whose sum is σ = 36038851430400. Its totient is φ = 12066578100000.

The previous prime is 21100022101303. The next prime is 21100022101423. The reversal of 21100022101323 is 32310122000112.

21100022101323 is a `hidden beast` number, since 21 + 100 + 0 + 221 + 0 + 1 + 323 = 666.

It is not a de Polignac number, because 21100022101323 - 26 = 21100022101259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100022101296 and 21100022101305.

It is not an unprimeable number, because it can be changed into a prime (21100022101303) 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, 6032113 + ... + 8864898.

It is an arithmetic number, because the mean of its divisors is an integer number (563107053600).

Almost surely, 221100022101323 is an apocalyptic number.

21100022101323 is a deficient number, since it is larger than the sum of its proper divisors (14938829329077).

21100022101323 is a wasteful number, since it uses less digits than its factorization.

21100022101323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897301 (or 14897295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21100022101323 its reverse (32310122000112), we get a palindrome (53410144101435).

The spelling of 21100022101323 in words is "twenty-one trillion, one hundred billion, twenty-two million, one hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 251 297 513 627 753 1881 2259 2761 4769 5643 6777 8283 14307 24849 42921 52459 74547 128763 157377 472131 1416393 14897011 44691033 134073099 163867121 283043209 402219297 491601363 849129627 1474804089 2547388881 3113475299 3739149761 4424412267 7642166643 9340425897 11217449283 28021277691 33652347849 41130647371 71043845459 84063833073 100957043547 123391942113 213131536377 370175826339 639394609131 781482300049 1110527479017 1918183827393 2344446900147 7033340700441 21100022101323