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220012022112102 = 2321124133911359679
BaseRepresentation
bin110010000001100110001010…
…011011001001111101100110
31001211222221111002211010200100
4302001212022123021331212
5212314134110130041402
62055532043323124530
764225226002530063
oct6201461233117546
91054887432733610
10220012022112102
1164114635865120
1220813979073746
13959c077179ccc
143c488d27b7c6a
151a6803e5b271c
hexc8198a6c9f66

220012022112102 has 96 divisors (see below), whose sum is σ = 522340586127360. Its totient is φ = 66374041248000.

The previous prime is 220012022112079. The next prime is 220012022112121. The reversal of 220012022112102 is 201211220210022.

It is a happy number.

220012022112102 is a `hidden beast` number, since 2 + 200 + 120 + 221 + 121 + 0 + 2 = 666.

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

It is a congruent number.

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, 161131899 + ... + 162491577.

It is an arithmetic number, because the mean of its divisors is an integer number (5441047772160).

Almost surely, 2220012022112102 is an apocalyptic number.

220012022112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012022112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261170293063680).

220012022112102 is an abundant number, since it is smaller than the sum of its proper divisors (302328564015258).

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

220012022112102 is a wasteful number, since it uses less digits than its factorization.

220012022112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363330 (or 1363327 counting only the distinct ones).

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

Adding to 220012022112102 its reverse (201211220210022), we get a palindrome (421223242322124).

The spelling of 220012022112102 in words is "two hundred twenty trillion, twelve billion, twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 3391 4338 5302 6782 7953 10173 15906 20346 23859 30519 37301 47718 61038 74602 111903 223806 335709 671418 817231 1359679 1634462 2451693 2719358 4079037 4903386 7355079 8158074 8989541 12237111 14710158 14956469 17979082 24474222 26968623 29912938 44869407 53937246 80905869 89738814 134608221 161811738 269216442 327682639 655365278 983047917 1966095834 2949143751 3604509029 4610671489 5898287502 7209018058 9221342978 10813527087 13832014467 21627054174 27664028934 32440581261 41496043401 50717386379 64881162522 82992086802 101434772758 152152159137 304304318274 456456477411 912912954822 1111171828849 2222343657698 3333515486547 6667030973094 10000546459641 12222890117339 20001092919282 24445780234678 36668670352017 73337340704034 110006011056051 220012022112102