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13224144142231 = 1153592571495939
BaseRepresentation
bin1100000001101111110001…
…1010011111111110010111
31201211012211100020201102221
43000123330122133332113
53213131021400022411
644043030555243211
72533261422360541
oct300337432377627
951735740221387
1013224144142231
114239367685350
121596b17149507
1374c054101489
1433a0a2944691
1517decc5c1071
hexc06fc69ff97

13224144142231 has 32 divisors (see below), whose sum is σ = 15005833977600. Its totient is φ = 11550077460480.

The previous prime is 13224144142163. The next prime is 13224144142243.

13224144142231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13224144142231 - 211 = 13224144140183 is a prime.

It is a super-2 number, since 2×132241441422312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224144142831) 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, 8092060 + ... + 9587998.

It is an arithmetic number, because the mean of its divisors is an integer number (468932311800).

Almost surely, 213224144142231 is an apocalyptic number.

13224144142231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13224144142231 is a deficient number, since it is larger than the sum of its proper divisors (1781689835369).

13224144142231 is a wasteful number, since it uses less digits than its factorization.

13224144142231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496319.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1322414 and 4142231, that added together give a palindrome (5464645).

The spelling of 13224144142231 in words is "thirteen trillion, two hundred twenty-four billion, one hundred forty-four million, one hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 11 53 59 257 583 649 2827 3127 13621 15163 34397 149831 166793 803639 1495939 8840029 16455329 79284767 88260401 384456323 872132437 970864411 4229019553 4677801253 20376185119 22682923057 51455813783 224138036309 249512153627 1202194922021 13224144142231