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200212012102211 = 171941210912592687
BaseRepresentation
bin101101100001011101111101…
…110111000111001001000011
3222020220002012100210202112022
4231201131331313013021003
5202220233200044232321
61545452043440352055
760112561205411624
oct5541357567071103
9866802170722468
10200212012102211
115888048a35174a
121a55651991562b
138793bb10bc235
143762455193a4b
151822e91d74dab
hexb6177ddc7243

200212012102211 has 96 divisors (see below), whose sum is σ = 231089531904000. Its totient is φ = 172364070113280.

The previous prime is 200212012102171. The next prime is 200212012102261. The reversal of 200212012102211 is 112201210212002.

It is a de Polignac number, because none of the positive numbers 2k-200212012102211 is a prime.

It is a super-2 number, since 2×2002120121022112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200212012102211.

It is not an unprimeable number, because it can be changed into a prime (200212012102261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511354110 + ... + 74511356796.

It is an arithmetic number, because the mean of its divisors is an integer number (2407182624000).

Almost surely, 2200212012102211 is an apocalyptic number.

200212012102211 is a deficient number, since it is larger than the sum of its proper divisors (30877519801789).

200212012102211 is a wasteful number, since it uses less digits than its factorization.

200212012102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200212012102211 its reverse (112201210212002), we get a palindrome (312413222314213).

The spelling of 200212012102211 in words is "two hundred trillion, two hundred twelve billion, twelve million, one hundred two thousand, two hundred eleven".

Divisors: 1 17 19 41 109 323 697 779 1259 1681 1853 2071 2687 4469 13243 21403 23921 28577 31939 35207 45679 51053 51619 75973 84911 110167 137231 183229 292883 406657 542963 867901 877523 980761 1443487 1872839 2093173 2116379 2332927 2607389 3114893 3382933 3481351 4516847 4979011 5564777 5626471 12008203 16672937 35583941 35978443 40211201 44325613 57509861 59182967 64275727 76786399 85820093 94601209 95650007 106902949 138700253 204139451 228155857 230685311 368739697 492336323 683590417 1092687359 1458941581 1817350133 2357904301 2635304807 3878649569 3921650287 4383020909 5686710373 6268574849 7006054243 8369717491 9354390137 15118327577 44800181719 74511355453 96674076341 108047497087 119102922131 159024632329 257011568809 287248223963 619851430657 1836807450479 4883219807371 10537474321169 11777177182483 200212012102211