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200002013220042 = 232116773206524469
BaseRepresentation
bin101101011110011010011000…
…111100111100110011001010
3222020011000011011212020021200
4231132122120330330303022
5202203313110341020132
61545211353443445030
760061445222356635
oct5536323074746312
9866130134766250
10200002013220042
11587aa41746a370
121a521891686776
13877a1553b4647
143756213160c1c
15181c7a0bb3d7c
hexb5e698f3ccca

200002013220042 has 96 divisors (see below), whose sum is σ = 486360170262720. Its totient is φ = 58884256316160.

The previous prime is 200002013220041. The next prime is 200002013220103. The reversal of 200002013220042 is 240022310200002.

200002013220042 is a `hidden beast` number, since 200 + 0 + 0 + 201 + 3 + 220 + 0 + 42 = 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 = 200002013219997 and 200002013220024.

It is not an unprimeable number, because it can be changed into a prime (200002013220041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102293817 + ... + 104230652.

It is an arithmetic number, because the mean of its divisors is an integer number (5066251773570).

Almost surely, 2200002013220042 is an apocalyptic number.

200002013220042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200002013220042 is an abundant number, since it is smaller than the sum of its proper divisors (286358157042678).

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

200002013220042 is a wasteful number, since it uses less digits than its factorization.

200002013220042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206524628 (or 206524625 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200002013220042 its reverse (240022310200002), we get a palindrome (440024323420044).

The spelling of 200002013220042 in words is "two hundred trillion, two billion, thirteen million, two hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 73 99 134 146 198 201 219 402 438 603 657 737 803 1206 1314 1474 1606 2211 2409 4422 4818 4891 6633 7227 9782 13266 14454 14673 29346 44019 53801 88038 107602 161403 322806 484209 968418 206524469 413048938 619573407 1239146814 1858720221 2271769159 3717440442 4543538318 6815307477 13630614954 13837139423 15076286237 20445922431 27674278846 30152572474 40891844862 41511418269 45228858711 83022836538 90457717422 124534254807 135686576133 152208533653 165839148607 249068509614 271373152266 304417067306 331678297214 456625600959 497517445821 913251201918 995034891642 1010111177879 1369876802877 1492552337463 2020222355758 2739753605754 2985104674926 3030333533637 6060667067274 9091000600911 11111222956669 18182001201822 22222445913338 33333668870007 66667337740014 100001006610021 200002013220042