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211040130301 = 7111319432111223
BaseRepresentation
bin1100010010001011111…
…0001101010011111101
3202011201202020102011021
43010202332031103331
511424202233132201
6240541150224141
721150525336550
oct3044276152375
9664652212137
10211040130301
1181557719530
1234a98ab5051
1316b93657760
14a30043a697
1557527ddea1
hex3122f8d4fd

211040130301 has 128 divisors (see below), whose sum is σ = 306901647360. Its totient is φ = 139683398400.

The previous prime is 211040130293. The next prime is 211040130313. The reversal of 211040130301 is 103031040112.

It is not a de Polignac number, because 211040130301 - 23 = 211040130293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211040130401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172558776 + ... + 172559998.

It is an arithmetic number, because the mean of its divisors is an integer number (2397669120).

Almost surely, 2211040130301 is an apocalyptic number.

It is an amenable number.

211040130301 is a deficient number, since it is larger than the sum of its proper divisors (95861517059).

211040130301 is a wasteful number, since it uses less digits than its factorization.

211040130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211040130301 its reverse (103031040112), we get a palindrome (314071170413).

The spelling of 211040130301 in words is "two hundred eleven billion, forty million, one hundred thirty thousand, three hundred one".

Divisors: 1 7 11 13 19 43 77 91 133 143 209 211 247 301 473 559 817 1001 1223 1463 1477 1729 2321 2717 2743 3311 3913 4009 5719 6149 8561 8987 9073 10621 13453 15899 16247 19019 19201 23237 28063 30173 43043 44099 52117 52589 62909 63511 74347 94171 99803 111293 116831 117949 162659 172387 174889 211211 255607 258053 302081 308693 364819 368123 573287 578479 683657 698621 817817 825643 999191 1206709 1224223 1297439 1789249 1806371 1896257 2114567 2241031 2838583 3322891 3354689 4013009 4049353 4785599 4903007 6994337 7520227 9082073 10991101 11096279 12989483 13273799 15687217 19870081 23260237 23482823 24651341 34321049 36901579 52641589 53933077 63739091 76937707 77673953 90926381 122059069 142884313 144251627 172559387 210829301 258311053 377531539 446173637 701130001 854413483 1000190191 1009761389 1475805107 1586767897 2319122311 2740780913 4907910007 11107375279 16233856177 19185466391 30148590043 211040130301