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11211331322022 = 231317231272894557
BaseRepresentation
bin1010001100100101011101…
…1010111100000010100110
31110200210101221211011102020
42203021113122330002212
52432141301304301042
635502225311124010
72234664145605516
oct243112732740246
943623357734366
1011211331322022
113632776286057
1213109b8213606
136342bb1b42b0
142aa8ba531846
151469748173ec
hexa32576bc0a6

11211331322022 has 128 divisors (see below), whose sum is σ = 26889656500224. Its totient is φ = 3081104345088.

The previous prime is 11211331322021. The next prime is 11211331322033. The reversal of 11211331322022 is 22022313311211.

It is a junction number, because it is equal to n+sod(n) for n = 11211331321983 and 11211331322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211331322021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2425968 + ... + 5320524.

It is an arithmetic number, because the mean of its divisors is an integer number (210075441408).

Almost surely, 211211331322022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211331322022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444828250112).

11211331322022 is an abundant number, since it is smaller than the sum of its proper divisors (15678325178202).

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

11211331322022 is a wasteful number, since it uses less digits than its factorization.

11211331322022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894742.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11211331322022 its reverse (22022313311211), we get a palindrome (33233644633233).

It can be divided in two parts, 1121133 and 1322022, that added together give a triangular number (2443155 = T2210).

The spelling of 11211331322022 in words is "eleven trillion, two hundred eleven billion, three hundred thirty-one million, three hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 127 138 221 254 299 381 391 442 598 663 762 782 897 1173 1326 1651 1794 2159 2346 2921 3302 4318 4953 5083 5842 6477 8763 9906 10166 12954 15249 17526 28067 30498 37973 49657 56134 75946 84201 99314 113919 148971 168402 227838 297942 645541 1291082 1936623 2894557 3873246 5789114 8683671 17367342 37629241 49207469 66574811 75258482 98414938 112887723 133149622 147622407 199724433 225775446 295244814 367608739 399448866 639697097 735217478 865472543 1102826217 1131771787 1279394194 1730945086 1919091291 2205652434 2263543574 2596417629 3395315361 3838182582 4778913607 5192835258 6249348563 6790630722 8455000997 9557827214 12498697126 14336740821 14713033231 16910001994 18748045689 25365002991 28673481642 29426066462 37496091378 44139099693 50730005982 81241531319 88278199386 109915012961 143735016949 162483062638 219830025922 243724593957 287470033898 329745038883 431205050847 487449187914 659490077766 862410101694 1868555220337 3737110440674 5605665661011 11211331322022