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211101011220012 = 223372107521230507
BaseRepresentation
bin101111111111111011001000…
…110010010001011000101100
31000200110001121102201101012120
4233333323020302101120230
5210132134332333020022
62024550244334032540
762315354564641014
oct5777731062213054
91020401542641176
10211101011220012
1161299488494981
121b814959648750
1390a398085a7b4
143a1b4b4648c44
15196134d62dd5c
hexbffec8c9162c

211101011220012 has 144 divisors (see below), whose sum is σ = 511955708439168. Its totient is φ = 67694854556160.

The previous prime is 211101011219993. The next prime is 211101011220013. The reversal of 211101011220012 is 210022110101112.

It is a happy number.

It is a super-2 number, since 2×2111010112200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211101011219973 and 211101011220000.

It is not an unprimeable number, because it can be changed into a prime (211101011220013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915696463 + ... + 915926969.

It is an arithmetic number, because the mean of its divisors is an integer number (3555247975272).

Almost surely, 2211101011220012 is an apocalyptic number.

It is an amenable number.

211101011220012 is an abundant number, since it is smaller than the sum of its proper divisors (300854697219156).

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

211101011220012 is a wasteful number, since it uses less digits than its factorization.

211101011220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231216 (or 231177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211101011220012 its reverse (210022110101112), we get a palindrome (421123121321124).

The spelling of 211101011220012 in words is "two hundred eleven trillion, one hundred one billion, eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 521 642 1042 1284 1369 1563 2084 2738 3126 3959 4107 5476 6252 7918 8214 11877 15836 16428 19277 23754 38554 47508 55747 57831 77108 111494 115662 146483 167241 222988 230507 231324 292966 334482 439449 461014 585932 668964 691521 713249 878898 922028 1383042 1426498 1757796 2062639 2139747 2766084 2852996 4125278 4279494 6187917 8250556 8528759 8558988 12375834 17057518 24664249 24751668 25586277 34115036 49328498 51172554 73992747 76317643 98656996 102345108 120094147 147985494 152635286 228952929 240188294 295970988 305270572 315564083 360282441 457905858 480376588 631128166 720564882 912577213 915811716 946692249 1262256332 1441129764 1825154426 1893384498 2737731639 3650308852 3786768996 4443483439 5475463278 8886966878 10950926556 12850073729 13330450317 17773933756 25700147458 26660900634 33765356881 38550221187 51400294916 53321801268 67530713762 77100442374 101296070643 135061427524 154200884748 164408887243 202592141286 328817774486 405184282572 475452727973 493226661729 657635548972 950905455946 986453323458 1426358183919 1901810911892 1972906646916 2852716367838 5705432735676 17591750935001 35183501870002 52775252805003 70367003740004 105550505610006 211101011220012