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10011122220222 = 23217229311459373
BaseRepresentation
bin1001000110101110010101…
…1000100011110010111110
31022110001110022122120200200
42101223211120203302332
52303010234242021342
633143013540504330
72052164640556314
oct221534530436276
938401408576620
1010011122220222
11320a76955a762
1211582806ab0a6
135780774a6516
142687803360b4
1512562b5c594c
hex91ae5623cbe

10011122220222 has 96 divisors (see below), whose sum is σ = 23141204124480. Its totient is φ = 3116967644160.

The previous prime is 10011122220199. The next prime is 10011122220287. The reversal of 10011122220222 is 22202222111001.

It is a happy number.

10011122220222 is a `hidden beast` number, since 100 + 1 + 1 + 122 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011122220195 and 10011122220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21563328 + ... + 22022700.

It is an arithmetic number, because the mean of its divisors is an integer number (241054209630).

Almost surely, 210011122220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011122220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570602062240).

10011122220222 is an abundant number, since it is smaller than the sum of its proper divisors (13130081904258).

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

10011122220222 is a wasteful number, since it uses less digits than its factorization.

10011122220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459938 (or 459935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10011122220222 its reverse (22202222111001), we get a palindrome (32213344331223).

The spelling of 10011122220222 in words is "ten trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 306 311 458 622 687 933 1374 1866 2061 2799 3893 4122 5287 5598 7786 10574 11679 15861 23358 31722 35037 47583 70074 71219 95166 142438 213657 427314 459373 640971 918746 1210723 1281942 1378119 2421446 2756238 3632169 4134357 7264338 7809341 8268714 10896507 15618682 21793014 23428023 46856046 70284069 105196417 140568138 142865003 210392834 285730006 315589251 428595009 631178502 857190018 946767753 1285785027 1788339089 1893535506 2428705051 2571570054 3576678178 4857410102 5365017267 7286115153 10730034534 14572230306 16095051801 21858345459 32190103602 32716085687 43716690918 65432171374 98148257061 196296514122 294444771183 556173456679 588889542366 1112346913358 1668520370037 3337040740074 5005561110111 10011122220222