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220102020122202 = 2323710116320074319
BaseRepresentation
bin110010000010111001111110…
…101110010100011001011010
31001212022112210012221202011200
4302002321332232110121122
5212322122414122402302
62100041245552535030
764234563146145141
oct6202717656243132
91055275705852150
10220102020122202
1164149819347169
12208292b5251476
1395a76ba75361a
143c4cdcd318758
151a6a55a69981c
hexc82e7eb9465a

220102020122202 has 96 divisors (see below), whose sum is σ = 497660379390720. Its totient is φ = 70244053545600.

The previous prime is 220102020122189. The next prime is 220102020122227. The reversal of 220102020122202 is 202221020201022.

220102020122202 is a `hidden beast` number, since 220 + 1 + 0 + 20 + 201 + 2 + 220 + 2 = 666.

It is a super-2 number, since 2×2201020201222022 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927199 + ... + 21001517.

It is an arithmetic number, because the mean of its divisors is an integer number (5183962285320).

Almost surely, 2220102020122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102020122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248830189695360).

220102020122202 is an abundant number, since it is smaller than the sum of its proper divisors (277558359268518).

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

220102020122202 is a wasteful number, since it uses less digits than its factorization.

220102020122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074628 (or 20074625 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220102020122202 its reverse (202221020201022), we get a palindrome (422323040323224).

The spelling of 220102020122202 in words is "two hundred twenty trillion, one hundred two billion, twenty million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 101 111 163 202 222 303 326 333 489 606 666 909 978 1467 1818 2934 3737 6031 7474 11211 12062 16463 18093 22422 32926 33633 36186 49389 54279 67266 98778 108558 148167 296334 609131 1218262 1827393 3654786 5482179 10964358 20074319 40148638 60222957 120445914 180668871 361337742 742749803 1485499606 2027506219 2228249409 3272113997 4055012438 4456498818 6082518657 6544227994 6684748227 9816341991 12165037314 13369496454 18247555971 19632683982 29449025973 36495111942 58898051946 75017730103 121068217889 150035460206 225053190309 242136435778 330483513697 363204653667 450106380618 660967027394 675159570927 726409307334 991450541091 1089613961001 1350319141854 1982901082182 2179227922002 2974351623273 5948703246546 12227890006789 24455780013578 36683670020367 73367340040734 110051010061101 220102020122202