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211002101200011 = 311171958739678501
BaseRepresentation
bin101111111110011111000001…
…010010011111010010001011
31000200002121022020001202102110
4233332133001102133102023
5210124024300401400021
62024433005505033403
762305253524433532
oct5776370122372213
91020077266052373
10211002101200011
116126054134a9a0
121b7b9754925863
139097549b01044
143a167b0279319
15195d9aee4b476
hexbfe7c149f48b

211002101200011 has 128 divisors (see below), whose sum is σ = 342778700759040. Its totient is φ = 113786760960000.

The previous prime is 211002101200001. The next prime is 211002101200013. The reversal of 211002101200011 is 110002101200112.

It is not a de Polignac number, because 211002101200011 - 215 = 211002101167243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211002101200011.

It is not an unprimeable number, because it can be changed into a prime (211002101200013) 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, 24820852261 + ... + 24820860761.

It is an arithmetic number, because the mean of its divisors is an integer number (2677958599680).

Almost surely, 2211002101200011 is an apocalyptic number.

211002101200011 is a deficient number, since it is larger than the sum of its proper divisors (131776599559029).

211002101200011 is a wasteful number, since it uses less digits than its factorization.

211002101200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105.

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

Adding to 211002101200011 its reverse (110002101200112), we get a palindrome (321004202400123).

It can be divided in two parts, 211002101 and 200011, that added together give a palindrome (211202112).

The spelling of 211002101200011 in words is "two hundred eleven trillion, two billion, one hundred one million, two hundred thousand, eleven".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 587 627 969 1761 3553 3967 6457 8501 9979 10659 11153 11901 19371 25503 29937 33459 43637 67439 75373 93511 109769 122683 130911 144517 161519 189601 202317 226119 280533 329307 368049 433551 484557 568803 741829 829103 1281341 1589687 1776709 2085611 2225487 2328629 2487309 2745823 3844023 4769061 4990087 5330127 6256833 6985887 8237469 14094751 14970261 25614919 30204053 33723467 39586693 42284253 44243951 54890957 76844757 84831479 90612159 94811653 101170401 118760079 132731853 164672871 254494437 284434959 370958137 435453623 486683461 573298939 640745873 752147167 933146269 1042928183 1112874411 1306360869 1460050383 1611798101 1719896817 1922237619 2256441501 2799438807 3128784549 4835394303 6306288329 7048204603 8273618837 10892679841 17729779111 18918864987 19795675129 21144613809 24820856511 32678039523 53189337333 59387025387 119819478251 217752426419 336526477193 359458434753 376117827451 653257279257 1009579431579 1128353482353 3701791249123 4137296101961 6394003066667 11105373747369 12411888305883 19182009200001 70334033733337 211002101200011