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2012202200200 = 235282125214861
BaseRepresentation
bin11101010010000000100…
…110001110110010001000
321010100211211102211211211
4131102000212032302020
5230431442230401300
64140220512302504
7265243150331533
oct35220046166210
97110754384754
102012202200200
11706408758465
12285b8a541a34
1311799957378a
146d5692a3a1a
153751e38e4ba
hex1d48098ec88

2012202200200 has 96 divisors (see below), whose sum is σ = 4686890499720. Its totient is φ = 803416320000.

The previous prime is 2012202200191. The next prime is 2012202200201. The reversal of 2012202200200 is 20022022102.

It can be written as a sum of positive squares in 12 ways, for example, as 20232004 + 2012181968196 = 4498^2 + 1418514^2 .

It is not an unprimeable number, because it can be changed into a prime (2012202200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413945770 + ... + 413950630.

Almost surely, 22012202200200 is an apocalyptic number.

2012202200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012202200200 is an abundant number, since it is smaller than the sum of its proper divisors (2674688299520).

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

2012202200200 is a wasteful number, since it uses less digits than its factorization.

2012202200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2012202200200 its reverse (20022022102), we get a palindrome (2032224222302).

The spelling of 2012202200200 in words is "two trillion, twelve billion, two hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 821 1642 2521 3284 4105 4861 5042 6568 8210 9722 10084 12605 16420 19444 20168 20525 24305 25210 32840 38888 41050 48610 50420 63025 82100 97220 100840 121525 126050 164200 194440 243050 252100 486100 504200 972200 2069741 3990881 4139482 7981762 8278964 10348705 12254581 15963524 16557928 19954405 20697410 24509162 31927048 39908810 41394820 49018324 51743525 61272905 79817620 82789640 98036648 99772025 103487050 122545810 159635240 199544050 206974100 245091620 306364525 399088100 413948200 490183240 612729050 798176200 1225458100 2450916200 10061011001 20122022002 40244044004 50305055005 80488088008 100610110010 201220220020 251525275025 402440440040 503050550050 1006101100100 2012202200200