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211120122212142 = 2311132359181327007
BaseRepresentation
bin110000000000001100111011…
…111000111010111100101110
31000200111212221022102100220220
4300000030323320322330232
5210132443002241242032
62025003124544552210
762316632303460153
oct6000147370727456
91020455838370826
10211120122212142
11612a65a510a150
121b8185b1922666
1390a5707cba070
143a1c3a883622a
151961abb2e012c
hexc0033be3af2e

211120122212142 has 128 divisors (see below), whose sum is σ = 526399557304320. Its totient is φ = 55529582317440.

The previous prime is 211120122212141. The next prime is 211120122212203. The reversal of 211120122212142 is 241212221021112.

211120122212142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120122212141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89499198 + ... + 91827809.

It is an arithmetic number, because the mean of its divisors is an integer number (4112496541440).

Almost surely, 2211120122212142 is an apocalyptic number.

211120122212142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211120122212142 is an abundant number, since it is smaller than the sum of its proper divisors (315279435092178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211120122212142 is a wasteful number, since it uses less digits than its factorization.

211120122212142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181327118.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 211120122212142 its reverse (241212221021112), we get a palindrome (452332343233254).

The spelling of 211120122212142 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 59 66 69 78 118 138 143 177 253 286 299 354 429 506 598 649 759 767 858 897 1298 1357 1518 1534 1794 1947 2301 2714 3289 3894 4071 4602 6578 8142 8437 9867 14927 16874 17641 19734 25311 29854 35282 44781 50622 52923 89562 105846 194051 388102 582153 1164306 181327007 362654014 543981021 1087962042 1994597077 2357251091 3989194154 4170521161 4714502182 5983791231 7071753273 8341042322 10698293413 11967582462 12511563483 14143506546 21396586826 25023126966 25929762001 32094880239 45875732771 51859524002 54216775093 64189760478 77789286003 91751465542 108433550186 117681227543 137627198313 139077814369 155578572006 162650325279 235362455086 246060748499 275254396626 278155628738 325300650558 353043682629 417233443107 492121496998 596384526023 706087365258 738182245497 834466886214 1192769052046 1476364490994 1529855958059 1789153578069 2706668233489 3059711916118 3198789730487 3578307156138 4589567874177 5413336466978 6397579460974 8120004700467 9179135748354 9596369191461 16240009400934 19192738382922 35186687035357 70373374070714 105560061106071 211120122212142