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2002021002200 = 2352231279340283
BaseRepresentation
bin11101001000100001110…
…000000010101111011000
321002101120021201101210102
4131020201300002233120
5230300114334032300
64131414334034532
7264432642511532
oct35104160025730
97071507641712
102002021002200
1170206373273a
12284008948a48
13116a3618306b
146cc81054852
153712563d0d5
hex1d221c02bd8

2002021002200 has 96 divisors (see below), whose sum is σ = 4860888883200. Its totient is φ = 765389496960.

The previous prime is 2002021002193. The next prime is 2002021002203. The reversal of 2002021002200 is 22001202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002021002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713259 + ... + 6053541.

It is an arithmetic number, because the mean of its divisors is an integer number (50634259200).

Almost surely, 22002021002200 is an apocalyptic number.

2002021002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002021002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430444441600).

2002021002200 is an abundant number, since it is smaller than the sum of its proper divisors (2858867881000).

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

2002021002200 is a wasteful number, since it uses less digits than its factorization.

2002021002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341601 (or 341592 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002021002200 its reverse (22001202002), we get a palindrome (2024022204202).

The spelling of 2002021002200 in words is "two trillion, two billion, twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1279 2300 2558 4600 5116 6395 10232 12790 25580 29417 31975 51160 58834 63950 117668 127900 147085 235336 255800 294170 340283 588340 680566 735425 1176680 1361132 1470850 1701415 2722264 2941700 3402830 5883400 6805660 7826509 8507075 13611320 15653018 17014150 31306036 34028300 39132545 62612072 68056600 78265090 156530180 195662725 313060360 391325450 435221957 782650900 870443914 1565301800 1740887828 2176109785 3481775656 4352219570 8704439140 10010105011 10880548925 17408878280 20020210022 21761097850 40040420044 43522195700 50050525055 80080840088 87044391400 100101050110 200202100220 250252625275 400404200440 500505250550 1001010501100 2002021002200