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13223132301414 = 2372313383337489
BaseRepresentation
bin1100000001101100000000…
…0110101000100001100110
31201211010012211021212210010
43000123000012220201212
53213121433332121124
644042342332111050
72533224355022400
oct300330006504146
951733184255703
1013223132301414
114238998504372
121596894305486
1374bc225a98b9
1433a0083d3b70
1517de6d851529
hexc06c01a8866

13223132301414 has 96 divisors (see below), whose sum is σ = 30871184888160. Its totient is φ = 3764884451328.

The previous prime is 13223132301413. The next prime is 13223132301437. The reversal of 13223132301414 is 41410323132231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223132301413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352701582 + ... + 352739070.

It is an arithmetic number, because the mean of its divisors is an integer number (321574842585).

Almost surely, 213223132301414 is an apocalyptic number.

13223132301414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223132301414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435592444080).

13223132301414 is an abundant number, since it is smaller than the sum of its proper divisors (17648052586746).

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

13223132301414 is a wasteful number, since it uses less digits than its factorization.

13223132301414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41654 (or 41647 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13223132301414 its reverse (41410323132231), we get a palindrome (54633455433645).

The spelling of 13223132301414 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty-two million, three hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 313 626 939 1878 2191 3833 4382 6573 7666 11499 13146 15337 22998 26831 30674 37489 46011 53662 74978 80493 92022 112467 160986 187817 224934 262423 375634 524846 563451 787269 1126902 1199729 1574538 1836961 2399458 3599187 3673922 5510883 7198374 8398103 11021766 11734057 16796206 23468114 25194309 35202171 50388618 58786721 70404342 82138399 117573442 143695337 164276798 176360163 246415197 287390674 352720326 431086011 492830394 574968793 862172022 1005867359 1149937586 1724906379 2011734718 3017602077 3449812758 6035204154 7041071513 14082143026 21123214539 42246429078 44976640481 89953280962 134929921443 269859842886 314836483367 629672966734 944509450101 1889018900202 2203855383569 4407710767138 6611566150707 13223132301414