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13224266242231 = 11196710156916433
BaseRepresentation
bin1100000001110000001110…
…1100010001100010110111
31201211020010212000001011011
43000130003230101202313
53213131244124222411
644043051040253051
72533264434246322
oct300340354214267
951736125001134
1013224266242231
11423941a5a0940
121596b50011187
1374c0734b21b5
1433a0b4c497b9
1517ded818dc21
hexc0703b118b7

13224266242231 has 64 divisors (see below), whose sum is σ = 15593315443200. Its totient is φ = 11088050688000.

The previous prime is 13224266242211. The next prime is 13224266242249.

13224266242231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13224266242231 - 211 = 13224266240183 is a prime.

It is a super-2 number, since 2×132242662422312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224266242211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804730191 + ... + 804746623.

It is an arithmetic number, because the mean of its divisors is an integer number (243645553800).

Almost surely, 213224266242231 is an apocalyptic number.

13224266242231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13224266242231 is a deficient number, since it is larger than the sum of its proper divisors (2369049200969).

13224266242231 is a wasteful number, since it uses less digits than its factorization.

13224266242231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17200.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1322426 and 6242231, that added together give a palindrome (7564657).

The spelling of 13224266242231 in words is "thirteen trillion, two hundred twenty-four billion, two hundred sixty-six million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 11 19 67 101 209 569 737 1111 1273 1919 6259 6767 10811 14003 16433 21109 38123 57469 74437 118921 128573 180763 312227 419353 632159 724337 1091911 1101011 1414303 1659733 3434497 3850423 7967707 9350377 12011021 12111121 18257063 20919209 31534927 42354653 73158037 102854147 111202111 177657163 230111299 346884197 626475259 804738407 944388077 1223223221 1954228793 2112840109 6891227849 10388268847 11903029921 17943373463 23241241199 63274001159 130933329131 197377108093 696014012749 1202206022021 13224266242231