Search a number
-
+
211211010020112 = 24312776145528877
BaseRepresentation
bin110000000001100001100101…
…001110011001001100010000
31000200211120112102212101121220
4300001201211032121030100
5210140440122031120422
62025112555402045040
762326330503213144
oct6001414516311420
91020746472771556
10211211010020112
11613310a4995533
121b832137aa9780
1390b1160a274ab
143a2294b5d9224
15196413a58ae5c
hexc01865399310

211211010020112 has 80 divisors (see below), whose sum is σ = 550647375931392. Its totient is φ = 69757522652160.

The previous prime is 211211010020099. The next prime is 211211010020147. The reversal of 211211010020112 is 211020010112112.

It is a happy number.

It is a super-2 number, since 2×2112110100201122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211010020091 and 211211010020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18125383 + ... + 27403494.

Almost surely, 2211211010020112 is an apocalyptic number.

It is an amenable number.

211211010020112 is an abundant number, since it is smaller than the sum of its proper divisors (339436365911280).

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

211211010020112 is a wasteful number, since it uses less digits than its factorization.

211211010020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45529776 (or 45529770 counting only the distinct ones).

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

Adding to 211211010020112 its reverse (211020010112112), we get a palindrome (422231020132224).

The spelling of 211211010020112 in words is "two hundred eleven trillion, two hundred eleven billion, ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 761 762 1016 1522 1524 2032 2283 3044 3048 4566 6088 6096 9132 12176 18264 36528 96647 193294 289941 386588 579882 773176 1159764 1546352 2319528 4639056 45528877 91057754 136586631 182115508 273173262 364231016 546346524 728462032 1092693048 2185386096 5782167379 11564334758 17346502137 23128669516 34647475397 34693004274 46257339032 69294950794 69386008548 92514678064 103942426191 138589901588 138772017096 207884852382 277179803176 277544034192 415769704764 554359606352 831539409528 1663078819056 4400229375419 8800458750838 13200688126257 17600917501676 26401376252514 35201835003352 52802752505028 70403670006704 105605505010056 211211010020112