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12263644636221 = 31137101119383357
BaseRepresentation
bin1011001001110101101000…
…1011101010010000111101
31121102101121110222022000210
42302131122023222100331
53101411421011324341
642025501321343033
72404006355313546
oct262353213522075
947371543868023
1012263644636221
1139a8a89759210
121460939937a79
136ac5c2576c04
143057c66014cd
15164013a74c16
hexb275a2ea43d

12263644636221 has 64 divisors (see below), whose sum is σ = 18517255485696. Its totient is φ = 7153945344000.

The previous prime is 12263644636213. The next prime is 12263644636231.

12263644636221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12263644636221 - 23 = 12263644636213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263644636231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147080275 + ... + 147163631.

It is an arithmetic number, because the mean of its divisors is an integer number (289332116964).

Almost surely, 212263644636221 is an apocalyptic number.

12263644636221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12263644636221 is a deficient number, since it is larger than the sum of its proper divisors (6253610849475).

12263644636221 is a wasteful number, since it uses less digits than its factorization.

12263644636221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84702.

The product of its digits is 2985984, while the sum is 48.

The spelling of 12263644636221 in words is "twelve trillion, two hundred sixty-three billion, six hundred forty-four million, six hundred thirty-six thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 101 111 303 407 1111 1193 1221 3333 3579 3737 11211 13123 39369 41107 44141 83357 120493 123321 132423 250071 361479 485551 916927 1325423 1456653 2750781 3084209 3976269 4458241 8419057 9252627 13374723 25257171 33926299 49040651 92609627 99444901 101778897 147121953 277828881 298334703 311505109 934515327 1093893911 3281681733 3426556199 3679461337 10043935001 10279668597 11038384011 30131805003 40474074707 110483285011 121422224121 331449855033 371625595037 1114876785111 4087881545407 12263644636221