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13022021110224 = 2437317915825241
BaseRepresentation
bin1011110101111110110011…
…1100010100100111010000
31201002220010001002211112110
42331133230330110213100
53201323044401011344
643410122305225320
72512544552062050
oct275375474244720
951086101084473
1013022021110224
114170676484845
121563908632240
13735c81cbbc59
143303aa8dd560
15178aeca853b9
hexbd7ecf149d0

13022021110224 has 160 divisors (see below), whose sum is σ = 40188518563840. Its totient is φ = 3554981913600.

The previous prime is 13022021110159. The next prime is 13022021110237. The reversal of 13022021110224 is 42201112022031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13022021110224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7089757 + ... + 8735484.

It is an arithmetic number, because the mean of its divisors is an integer number (251178241024).

Almost surely, 213022021110224 is an apocalyptic number.

13022021110224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13022021110224 is an abundant number, since it is smaller than the sum of its proper divisors (27166497453616).

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

13022021110224 is a wasteful number, since it uses less digits than its factorization.

13022021110224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825369 (or 15825363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13022021110224 its reverse (42201112022031), we get a palindrome (55223133132255).

The spelling of 13022021110224 in words is "thirteen trillion, twenty-two billion, twenty-one million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 79 84 93 112 124 158 168 186 217 237 248 316 336 372 434 474 496 553 632 651 744 868 948 1106 1264 1302 1488 1659 1736 1896 2212 2449 2604 3318 3472 3792 4424 4898 5208 6636 7347 8848 9796 10416 13272 14694 17143 19592 26544 29388 34286 39184 51429 58776 68572 102858 117552 137144 205716 274288 411432 822864 15825241 31650482 47475723 63300964 94951446 110776687 126601928 189902892 221553374 253203856 332330061 379805784 443106748 490582471 664660122 759611568 886213496 981164942 1250194039 1329320244 1471747413 1772426992 1962329884 2500388078 2658640488 2943494826 3434077297 3750582117 3924659768 5000776156 5317280976 5886989652 6868154594 7501164234 7849319536 8751358273 10001552312 10302231891 11773979304 13736309188 15002328468 17502716546 20003104624 20604463782 23547958608 26254074819 27472618376 30004656936 35005433092 38756015209 41208927564 52508149638 54945236752 60009313872 70010866184 77512030418 82417855128 105016299276 116268045627 140021732368 155024060836 164835710256 210032598552 232536091254 271292106463 310048121672 420065197104 465072182508 542584212926 620096243344 813876319389 930144365016 1085168425852 1627752638778 1860288730032 2170336851704 3255505277556 4340673703408 6511010555112 13022021110224