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11233322023112 = 23731167110934939
BaseRepresentation
bin1010001101110111011000…
…1010110011100011001000
31110202220011112012112011222
42203131312022303203020
52433021320414214422
635520303352141212
72236403122514630
oct243356612634310
943686145175158
1011233322023112
113641030480292
121315114997808
136363b412b867
142ab9a4d716c0
1514731020a842
hexa37762b38c8

11233322023112 has 128 divisors (see below), whose sum is σ = 25019947008000. Its totient is φ = 4626775054080.

The previous prime is 11233322022973. The next prime is 11233322023117. The reversal of 11233322023112 is 21132022333211.

11233322023112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11233322023117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321494939 + ... + 321529877.

It is an arithmetic number, because the mean of its divisors is an integer number (195468336000).

Almost surely, 211233322023112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233322023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509973504000).

11233322023112 is an abundant number, since it is smaller than the sum of its proper divisors (13786624984888).

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

11233322023112 is a wasteful number, since it uses less digits than its factorization.

11233322023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36259 (or 36255 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11233322023112 its reverse (21132022333211), we get a palindrome (32365344356323).

The spelling of 11233322023112 in words is "eleven trillion, two hundred thirty-three billion, three hundred twenty-two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 167 217 248 334 434 668 868 1109 1169 1336 1736 2218 2338 4436 4676 5177 7763 8872 9352 10354 15526 20708 31052 34379 34939 36239 41416 62104 68758 69878 72478 137516 139756 144956 185203 240653 244573 275032 279512 289912 370406 481306 489146 740812 962612 978292 1083109 1296421 1481624 1925224 1956584 2166218 2592842 4332436 5185684 5741293 5834813 7581763 8664872 10371368 11482586 11669626 15163526 22965172 23339252 30327052 38747351 40189051 40843691 45930344 46678504 60654104 77494702 80378102 81687382 154989404 160756204 163374764 180879203 271231457 309978808 321512408 326749528 361758406 542462914 723516812 1084925828 1201167881 1266154421 1447033624 2169851656 2402335762 2532308842 4804671524 5064617684 6470807617 8408175167 9609343048 10129235368 12941615234 16816350334 25883230468 33632700668 45295653319 51766460936 67265401336 90591306638 181182613276 200595036127 362365226552 401190072254 802380144508 1404165252889 1604760289016 2808330505778 5616661011556 11233322023112