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12523116222441 = 32114397123724517
BaseRepresentation
bin1011011000111100001111…
…1001001101011111101001
31122100012100111112120211200
42312033003321031133221
53120134320223104231
642345012402114413
72431523331360366
oct266170371153751
948305314476750
1012523116222441
113a990296a3370
1214a309234ba09
136cac03a00196
1431419cd0546d
1516ab4d16ebe6
hexb63c3e4d7e9

12523116222441 has 96 divisors (see below), whose sum is σ = 20417804254848. Its totient is φ = 7330605649920.

The previous prime is 12523116222349. The next prime is 12523116222443. The reversal of 12523116222441 is 14422261132521.

12523116222441 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 1 + 1 + 622 + 24 + 4 + 1 = 666.

It is not a de Polignac number, because 12523116222441 - 214 = 12523116206057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12523116222396 and 12523116222405.

It is not an unprimeable number, because it can be changed into a prime (12523116222443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510780915 + ... + 510805431.

It is an arithmetic number, because the mean of its divisors is an integer number (212685460988).

Almost surely, 212523116222441 is an apocalyptic number.

12523116222441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12523116222441 is a deficient number, since it is larger than the sum of its proper divisors (7894688032407).

12523116222441 is a wasteful number, since it uses less digits than its factorization.

12523116222441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25911 (or 25908 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 12523116222441 its reverse (14422261132521), we get a palindrome (26945377354962).

The spelling of 12523116222441 in words is "twelve trillion, five hundred twenty-three billion, one hundred sixteen million, two hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 43 97 99 129 291 387 473 873 1067 1237 1419 3201 3711 4171 4257 9603 11133 12513 13607 24517 37539 40821 45881 53191 73551 119989 122463 137643 159573 220653 269687 359967 412929 478719 585101 809061 1054231 1079901 1319879 1755303 2378149 2427183 3162693 3959637 5159527 5265909 7134447 9488079 11596541 11878911 15478581 21403341 26159639 30327529 34789623 46435743 56754797 78478917 90982587 102260407 104368869 170264391 235436751 272947761 306781221 333602819 510793173 920343663 1000808457 1124864477 1304083747 2941770313 3002425371 3374593431 3912251241 8825310939 10123780293 11736753723 14344921217 26475932817 32359473443 43034763651 97078420329 126496123459 129104290953 291235260987 379488370377 1138465111131 1391457358049 4174372074147 12523116222441