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110220022210122 = 232116112317413229
BaseRepresentation
bin11001000011111010011001…
…010001010101111001001010
3112110020221010212011010102100
4121003322121101111321022
5103421321101141210442
61030230213523214230
732134063620453156
oct3103723121257112
9473227125133370
10110220022210122
113213505a120190
1210441466517376
13496691b773636
141d3096b24a066
15cb212083d84c
hex643e99455e4a

110220022210122 has 96 divisors (see below), whose sum is σ = 265006011029760. Its totient is φ = 32825773584000.

The previous prime is 110220022210079. The next prime is 110220022210163. The reversal of 110220022210122 is 221012220022011.

It is a happy number.

110220022210122 is a `hidden beast` number, since 110 + 2 + 200 + 22 + 210 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110220022210095 and 110220022210104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11161404 + ... + 18574632.

It is an arithmetic number, because the mean of its divisors is an integer number (2760479281560).

Almost surely, 2110220022210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110220022210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132503005514880).

110220022210122 is an abundant number, since it is smaller than the sum of its proper divisors (154785988819638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110220022210122 is a wasteful number, since it uses less digits than its factorization.

110220022210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414540 (or 7414537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110220022210122 its reverse (221012220022011), we get a palindrome (331232242232133).

The spelling of 110220022210122 in words is "one hundred ten trillion, two hundred twenty billion, twenty-two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1231 1342 2013 2462 3693 4026 6039 7386 11079 12078 13541 22158 27082 40623 75091 81246 121869 150182 225273 243738 450546 675819 826001 1351638 1652002 2478003 4956006 7413229 7434009 14826458 14868018 22239687 44479374 66719061 81545519 133438122 163091038 244636557 452206969 489273114 733909671 904413938 1356620907 1467819342 2713241814 4069862721 4974276659 8139725442 9125684899 9948553318 14922829977 18251369798 27377054697 29845659954 44768489931 54754109394 82131164091 89536979862 100382533889 164262328182 200765067778 301147601667 556666778839 602295203334 903442805001 1113333557678 1670000336517 1806885610002 3340000673034 5010001009551 6123334567229 10020002019102 12246669134458 18370003701687 36740007403374 55110011105061 110220022210122