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102002221110222 = 232293159106837919
BaseRepresentation
bin10111001100010100111110…
…001001111101001111001110
3111101011022120011120110200100
4113030110332021331033032
5101332201022101011342
61000535101245511530
730325263061601316
oct2714247611751716
9441138504513610
10102002221110222
112a556998695a44
12b5348695725a6
1344bb9ca8c0504
141b28d10676446
15bbd4a2788e4c
hex5cc53e27d3ce

102002221110222 has 96 divisors (see below), whose sum is σ = 240000703488000. Its totient is φ = 31230860189760.

The previous prime is 102002221110217. The next prime is 102002221110233. The reversal of 102002221110222 is 222011122200201.

It is a happy number.

102002221110222 is a `hidden beast` number, since 1 + 0 + 200 + 22 + 211 + 10 + 222 = 666.

It is a super-2 number, since 2×1020022211102222 (a number of 29 digits) contains 22 as substring.

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 = 102002221110195 and 102002221110204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52464222 + ... + 54373697.

It is an arithmetic number, because the mean of its divisors is an integer number (2500007328000).

Almost surely, 2102002221110222 is an apocalyptic number.

102002221110222 is an abundant number, since it is smaller than the sum of its proper divisors (137998482377778).

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

102002221110222 is a wasteful number, since it uses less digits than its factorization.

102002221110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106838046 (or 106838043 counting only the distinct ones).

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

Adding to 102002221110222 its reverse (222011122200201), we get a palindrome (324013343310423).

The spelling of 102002221110222 in words is "one hundred two trillion, two billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 31 58 59 62 87 93 118 174 177 186 261 279 354 522 531 558 899 1062 1711 1798 1829 2697 3422 3658 5133 5394 5487 8091 10266 10974 15399 16182 16461 30798 32922 53041 106082 159123 318246 477369 954738 106837919 213675838 320513757 641027514 961541271 1923082542 3098299651 3311975489 6196599302 6303437221 6623950978 9294898953 9935926467 12606874442 18589797906 18910311663 19871852934 27884696859 29807779401 37820623326 55769393718 56730934989 59615558802 96047289181 113461869978 182799679409 192094578362 195406553851 288141867543 365599358818 390813107702 548399038227 576283735086 586219661553 864425602629 1096798076454 1172439323106 1645197114681 1728851205258 1758658984659 3290394229362 3517317969318 5666790061679 11333580123358 17000370185037 34000740370074 51001110555111 102002221110222