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2012022210200 = 2352192711953799
BaseRepresentation
bin11101010001110101110…
…111100111111010011000
321010100101021202101222112
4131101311313213322120
5230431110141211300
64140151002411452
7265235533414412
oct35216567477230
97110337671875
102012022210200
117063260a22a2
12285b3a200b88
1311796b1a4312
146d54d40d9b2
153750d688e35
hex1d475de7e98

2012022210200 has 96 divisors (see below), whose sum is σ = 4942332480000. Its totient is φ = 759636662400.

The previous prime is 2012022210157. The next prime is 2012022210221. The reversal of 2012022210200 is 20122202102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52901 + ... + 2006699.

It is an arithmetic number, because the mean of its divisors is an integer number (51482630000).

Almost surely, 22012022210200 is an apocalyptic number.

2012022210200 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 2012022210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471166240000).

2012022210200 is an abundant number, since it is smaller than the sum of its proper divisors (2930310269800).

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

2012022210200 is a wasteful number, since it uses less digits than its factorization.

2012022210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954105 (or 1954096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012022210200 its reverse (20122202102), we get a palindrome (2032144412302).

It can be divided in two parts, 2012022 and 210200, that added together give a palindrome (2222222).

The spelling of 2012022210200 in words is "two trillion, twelve billion, twenty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 271 380 475 542 760 950 1084 1355 1900 2168 2710 3800 5149 5420 6775 10298 10840 13550 20596 25745 27100 41192 51490 54200 102980 128725 205960 257450 514900 1029800 1953799 3907598 7815196 9768995 15630392 19537990 37122181 39075980 48844975 74244362 78151960 97689950 148488724 185610905 195379900 296977448 371221810 390759800 529479529 742443620 928054525 1058959058 1484887240 1856109050 2117918116 2647397645 3712218100 4235836232 5294795290 7424436200 10060111051 10589590580 13236988225 20120222102 21179181160 26473976450 40240444204 50300555255 52947952900 80480888408 100601110510 105895905800 201202221020 251502776275 402404442040 503005552550 1006011105100 2012022210200