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13242224334020 = 2251161101296731
BaseRepresentation
bin1100000010110011001000…
…0100111101010011000100
31201212221111101022121220212
43000230302010331103010
53213430033412142040
644055221024414552
72534501443435133
oct300546204752304
951787441277825
1013242224334020
114245aa545a010
12159a522177458
13750975b2b506
1433acd9c8791a
1517e6d9a19d65
hexc0b3213d4c4

13242224334020 has 144 divisors (see below), whose sum is σ = 31142687865408. Its totient is φ = 4689470400000.

The previous prime is 13242224333941. The next prime is 13242224334023. The reversal of 13242224334020 is 2043342224231.

It is a super-2 number, since 2×132422243340202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13242224334023) 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, 136849055 + ... + 136945785.

It is an arithmetic number, because the mean of its divisors is an integer number (216268665732).

Almost surely, 213242224334020 is an apocalyptic number.

13242224334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242224334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571343932704).

13242224334020 is an abundant number, since it is smaller than the sum of its proper divisors (17900463531388).

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

13242224334020 is a wasteful number, since it uses less digits than its factorization.

13242224334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97014 (or 96911 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 13242224334020 its reverse (2043342224231), we get a palindrome (15285566558251).

It can be divided in two parts, 132422 and 24334020, that added together give a palindrome (24466442).

The spelling of 13242224334020 in words is "thirteen trillion, two hundred forty-two billion, two hundred twenty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 404 505 610 671 1010 1111 1220 1342 2020 2222 2684 3355 4444 5555 6161 6710 10201 11110 12322 13420 20402 22220 24644 30805 40804 51005 61610 67771 96731 102010 112211 123220 135542 193462 204020 224422 271084 338855 386924 448844 483655 561055 622261 677710 967310 1064041 1122110 1244522 1355420 1934620 2128082 2244220 2489044 3111305 4256164 5320205 5900591 6222610 6844871 9769831 10640410 11801182 12445220 13689742 19539662 21280820 23602364 27379484 29502955 34224355 39079324 48849155 59005910 64906501 68448710 97698310 107468141 118011820 129813002 136897420 195396620 214936282 259626004 324532505 429872564 537340705 595959691 649065010 986752931 1074681410 1191919382 1298130020 1973505862 2149362820 2383838764 2979798455 3947011724 4933764655 5959596910 6555556601 9867529310 10854282241 11919193820 13111113202 19735058620 21708564482 26222226404 32777783005 43417128964 54271411205 60191928791 65555566010 108542822410 120383857582 131111132020 217085644820 240767715164 300959643955 601919287910 662111216701 1203838575820 1324222433402 2648444866804 3310556083505 6621112167010 13242224334020