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2012001020200 = 235243534414219
BaseRepresentation
bin11101010001110100100…
…110110010100100101000
321010100022210212211202201
4131101310212302210220
5230431034230121300
64140144524305544
7265235155331113
oct35216446624450
97110283784681
102012001020200
117063151399a6
12285b330a22b4
13117966995362
146d54a69557a
153750b8a066a
hex1d4749b2928

2012001020200 has 96 divisors (see below), whose sum is σ = 4877006824800. Its totient is φ = 771252168960.

The previous prime is 2012001020143. The next prime is 2012001020207. The reversal of 2012001020200 is 20201002102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012001020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751310 + ... + 2662909.

It is an arithmetic number, because the mean of its divisors is an integer number (50802154425).

Almost surely, 22012001020200 is an apocalyptic number.

2012001020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012001020200 is an abundant number, since it is smaller than the sum of its proper divisors (2865005804600).

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

2012001020200 is a wasteful number, since it uses less digits than its factorization.

2012001020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414331 (or 4414322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2012001020200 its reverse (20201002102), we get a palindrome (2032202022302).

The spelling of 2012001020200 in words is "two trillion, twelve billion, one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 53 86 100 106 172 200 212 215 265 344 424 430 530 860 1060 1075 1325 1720 2120 2150 2279 2650 4300 4558 5300 8600 9116 10600 11395 18232 22790 45580 56975 91160 113950 227900 455800 4414219 8828438 17656876 22071095 35313752 44142190 88284380 110355475 176568760 189811417 220710950 233953607 379622834 441421900 467907214 759245668 882843800 935814428 949057085 1169768035 1518491336 1871628856 1898114170 2339536070 3796228340 4679072140 4745285425 5848840175 7592456680 9358144280 9490570850 10060005101 11697680350 18981141700 20120010202 23395360700 37962283400 40240020404 46790721400 50300025505 80480040808 100600051010 201200102020 251500127525 402400204040 503000255050 1006000510100 2012001020200