Search a number
-
+
211212022211022 = 237219721117283139
BaseRepresentation
bin110000000001100010100001…
…100011100110000111001110
31000200211200010222111000112010
4300001202201203212013032
5210140444210141223042
62025113244040522050
762326364543540100
oct6001424143460716
91020750128430463
10211212022211022
1161331574285548
121b83237aa80326
1390b1292642521
143a22a05bdb570
15196419937959c
hexc018a18e61ce

211212022211022 has 96 divisors (see below), whose sum is σ = 496226325893760. Its totient is φ = 59755412646720.

The previous prime is 211212022211009. The next prime is 211212022211041. The reversal of 211212022211022 is 220112220212112.

It is a super-3 number, since 3×2112120222110223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 211212022211022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3579129 + ... + 20862267.

It is an arithmetic number, because the mean of its divisors is an integer number (5169024228060).

Almost surely, 2211212022211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212022211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248113162946880).

211212022211022 is an abundant number, since it is smaller than the sum of its proper divisors (285014303682738).

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

211212022211022 is a wasteful number, since it uses less digits than its factorization.

211212022211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17283566 (or 17283559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211212022211022 its reverse (220112220212112), we get a palindrome (431324242423134).

The spelling of 211212022211022 in words is "two hundred eleven trillion, two hundred twelve billion, twenty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 211 294 394 422 591 633 1182 1266 1379 1477 2758 2954 4137 4431 8274 8862 9653 10339 19306 20678 28959 31017 41567 57918 62034 83134 124701 249402 290969 581938 872907 1745814 2036783 4073566 6110349 12220698 17283139 34566278 51849417 103698834 120981973 241963946 362945919 725891838 846873811 1693747622 2540621433 3404778383 3646742329 5081242866 6809556766 7293484658 10214335149 10940226987 20428670298 21880453974 23833448681 25527196303 47666897362 51054392606 71500346043 76581588909 143000692086 153163177818 166834140767 178690374121 333668281534 357380748242 500502422301 536071122363 718408238813 1001004844602 1072142244726 1436816477626 2155224716439 4310449432878 5028857671691 10057715343382 15086573015073 30173146030146 35202003701837 70404007403674 105606011105511 211212022211022