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1001201212011 = 37111310714932087
BaseRepresentation
bin11101001000111000011…
…11100001101001101011
310112201021102201022120210
432210130033201221223
5112400430002241021
62043540120352203
7132222461612610
oct16443417415153
93481242638523
101001201212011
11356674a8a2a0
12142058315663
137354a0c5890
143665bbb0507
151b09be40e76
hexe91c3e1a6b

1001201212011 has 128 divisors (see below), whose sum is σ = 1811190398976. Its totient is φ = 475063303680.

The previous prime is 1001201211949. The next prime is 1001201212013. The reversal of 1001201212011 is 1102121021001.

It is not a de Polignac number, because 1001201212011 - 214 = 1001201195627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001201212013) 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, 479731210 + ... + 479733296.

It is an arithmetic number, because the mean of its divisors is an integer number (14149924992).

Almost surely, 21001201212011 is an apocalyptic number.

1001201212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001201212011 is a deficient number, since it is larger than the sum of its proper divisors (809989186965).

1001201212011 is a wasteful number, since it uses less digits than its factorization.

1001201212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721.

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

Adding to 1001201212011 its reverse (1102121021001), we get a palindrome (2103322233012).

It can be divided in two parts, 100120 and 1212011, that added together give a palindrome (1312131).

The spelling of 1001201212011 in words is "one trillion, one billion, two hundred one million, two hundred twelve thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 107 143 231 273 321 429 749 1001 1177 1391 1493 2087 2247 3003 3531 4173 4479 6261 8239 9737 10451 14609 15301 16423 19409 22957 24717 27131 29211 31353 43827 45903 49269 58227 68871 81393 107107 114961 135863 159751 160699 189917 213499 223309 298441 321321 344883 407589 479253 482097 569751 640497 669927 895323 1118257 1494493 1563163 1757261 2076763 2089087 2456399 2903017 3115891 3354771 4483479 4689489 5271783 6230289 6267261 7369197 8709051 9347673 12300827 14537341 17194793 20321119 21811237 22844393 31933187 34274801 36902481 40506583 43612023 51584379 60963357 65433711 68533179 95799561 102824403 121519749 159910751 223532309 239923607 283546081 333400337 445572413 479732253 670596927 719770821 850638243 1000201011 1336717239 2333802359 3119006891 3667403707 4334204381 7001407077 9357020673 11002211121 13002613143 25671825949 30339430667 47676248191 77015477847 91018292001 143028744573 333733737337 1001201212011