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201122111022 = 237241137121789
BaseRepresentation
bin1011101101001111001…
…1111101111000101110
3201020010112201211102220
42323103303331320232
511243344230023042
6232221052500210
720346664510500
oct2732363757056
9636115654386
10201122111022
1178328208888
1232b8b47a666
1315c729420b1
149a3d137d70
155371c268ec
hex2ed3cfde2e

201122111022 has 96 divisors (see below), whose sum is σ = 482832070560. Its totient is φ = 55652244480.

The previous prime is 201122111011. The next prime is 201122111027. The reversal of 201122111022 is 220111221102.

201122111022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201122110992 and 201122111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122111027) 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, 1590504 + ... + 1712292.

It is an arithmetic number, because the mean of its divisors is an integer number (5029500735).

Almost surely, 2201122111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241416035280).

201122111022 is an abundant number, since it is smaller than the sum of its proper divisors (281709959538).

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

201122111022 is a wasteful number, since it uses less digits than its factorization.

201122111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121986 (or 121979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201122111022 its reverse (220111221102), we get a palindrome (421233332124).

The spelling of 201122111022 in words is "two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 137 147 246 274 287 294 411 574 822 861 959 1722 1918 2009 2877 4018 5617 5754 6027 6713 11234 12054 13426 16851 20139 33702 39319 40278 78638 117957 121789 235914 243578 275233 365367 550466 730734 825699 852523 1651398 1705046 2557569 4993349 5115138 5967661 9986698 11935322 14980047 16685093 17902983 29960094 33370186 34953443 35805966 50055279 69906886 100110558 104860329 116795651 209720658 233591302 244674101 350386953 489348202 684088813 700773906 734022303 817569557 1368177626 1468044606 1635139114 2052266439 2452708671 4104532878 4788621691 4905417342 9577243382 14365865073 28731730146 33520351837 67040703674 100561055511 201122111022