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1200210211101 = 3111721919334319
BaseRepresentation
bin10001011101110010000…
…110100111000100011101
311020201221201020221101210
4101131302012213010131
5124131012303223401
62315211410055033
7152466220316256
oct21356206470435
94221851227353
101200210211101
11423008413880
12174737b7a479
1389244008985
144213a407b2d
15213483b04d6
hex117721a711d

1200210211101 has 96 divisors (see below), whose sum is σ = 1962269337600. Its totient is φ = 645200363520.

The previous prime is 1200210211099. The next prime is 1200210211121. The reversal of 1200210211101 is 1011120120021.

It is not a de Polignac number, because 1200210211101 - 21 = 1200210211099 is a prime.

It is a super-2 number, since 2×12002102111012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200210211121) 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, 34955020 + ... + 34989338.

It is an arithmetic number, because the mean of its divisors is an integer number (20440305600).

Almost surely, 21200210211101 is an apocalyptic number.

1200210211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200210211101 is a deficient number, since it is larger than the sum of its proper divisors (762059126499).

1200210211101 is a wasteful number, since it uses less digits than its factorization.

1200210211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34579 (or 34562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1200210211101 its reverse (1011120120021), we get a palindrome (2211330331122).

The spelling of 1200210211101 in words is "one trillion, two hundred billion, two hundred ten million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 11 17 19 33 51 57 187 193 209 289 323 561 579 627 867 969 2123 3179 3281 3553 3667 5491 6369 9537 9843 10659 11001 16473 34319 36091 40337 55777 60401 62339 102957 108273 121011 167331 181203 187017 377509 583423 613547 652061 685729 1059763 1132527 1750269 1840641 1956183 2057187 3179289 6417653 6623567 7172671 9918191 11085037 11657393 19252959 19870701 21518013 29754573 33255111 34972179 72859237 109100101 112600639 121935407 125847773 188445629 218577711 327300303 337801917 365806221 377543319 565336887 1238607029 1384325503 1914210863 2072901919 2139412141 3715821087 4152976509 5742632589 6218705757 6418236423 21056319493 23533533551 36370006397 63168958479 70600600653 109110019191 400070070367 1200210211101