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22122120033 = 351319596247
BaseRepresentation
bin10100100110100101…
…001100001101100001
32010002201200010200000
4110212211030031201
5330301230320113
614055053450213
71412130626526
oct244645141541
963081603600
1022122120033
1194223a6232
1243547a0969
13211723bb70
1410dc08d14d
15897202373
hex52694c361

22122120033 has 96 divisors (see below), whose sum is σ = 38207769600. Its totient is φ = 12676481856.

The previous prime is 22122120019. The next prime is 22122120049. The reversal of 22122120033 is 33002122122.

It is not a de Polignac number, because 22122120033 - 210 = 22122119009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22122119988 and 22122120015.

It is not an unprimeable number, because it can be changed into a prime (22122120133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538116 + ... + 3544362.

It is an arithmetic number, because the mean of its divisors is an integer number (397997600).

Almost surely, 222122120033 is an apocalyptic number.

It is an amenable number.

22122120033 is a deficient number, since it is larger than the sum of its proper divisors (16085649567).

22122120033 is a wasteful number, since it uses less digits than its factorization.

22122120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22122120033 its reverse (33002122122), we get a palindrome (55124242155).

The spelling of 22122120033 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, thirty-three".

Divisors: 1 3 9 13 19 27 39 57 59 81 117 171 177 243 247 351 513 531 741 767 1053 1121 1539 1593 2223 2301 3159 3363 4617 4779 6247 6669 6903 10089 14337 14573 18741 20007 20709 30267 43719 56223 60021 62127 81211 90801 118693 131157 168669 186381 243633 272403 356079 368573 393471 506007 730899 1068237 1105719 1180413 1518021 1543009 2192697 3204711 3317157 3541239 4629027 4791449 6578091 7002887 9614133 9951471 13887081 14374347 19734273 21008661 28842399 29854413 41661243 43123041 63025983 89563239 91037531 124983729 129369123 189077949 273112593 374951187 388107369 567233847 819337779 1164322107 1701701541 2458013337 7374040011 22122120033