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11000212331022 = 2321921951867689
BaseRepresentation
bin1010000000010010111110…
…1111111001101000001110
31102221121110201012012201100
42200010233233321220032
52420211413324043042
635221232222323530
72213511342026235
oct240045757715016
942847421165640
1011000212331022
1135611890a43a2
121297ab8a295a6
1361a414407c05
142a05ad847b1c
1514121a14c24c
hexa012fbf9a0e

11000212331022 has 72 divisors (see below), whose sum is σ = 25167147145920. Its totient is φ = 3471966763200.

The previous prime is 11000212330873. The next prime is 11000212331033. The reversal of 11000212331022 is 22013321200011.

11000212331022 is a `hidden beast` number, since 1 + 100 + 0 + 212 + 331 + 0 + 22 = 666.

11000212331022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11000212330986 and 11000212331004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12243754 + ... + 13111442.

It is an arithmetic number, because the mean of its divisors is an integer number (349543710360).

Almost surely, 211000212331022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000212331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583573572960).

11000212331022 is an abundant number, since it is smaller than the sum of its proper divisors (14166934814898).

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

11000212331022 is a wasteful number, since it uses less digits than its factorization.

11000212331022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869686 (or 869664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11000212331022 its reverse (22013321200011), we get a palindrome (33013533531033).

The spelling of 11000212331022 in words is "eleven trillion, two hundred twelve million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 1951 2166 3249 3902 5853 6498 11706 17559 35118 37069 74138 111207 222414 333621 667242 704311 867689 1408622 1735378 2112933 2603067 4225866 5206134 6338799 7809201 12677598 15618402 16486091 32972182 49458273 98916546 148374819 296749638 313235729 626471458 939707187 1692861239 1879414374 2819121561 3385722478 5078583717 5638243122 10157167434 15235751151 30471502302 32164363541 64328727082 96493090623 192986181246 289479271869 578958543738 611122907279 1222245814558 1833368721837 3666737443674 5500106165511 11000212331022