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13221002301100 = 22521147255725383
BaseRepresentation
bin1100000001100100000100…
…1001010100111010101100
31201210220201101022122122121
43000121001021110322230
53213103103042113400
644041351122522324
72533120522226056
oct300310111247254
951726641278577
1013221002301100
114237aa5145630
12159639ab063a4
1374b973216899
14339c855788d6
1517dd9686021a
hexc0641254eac

13221002301100 has 72 divisors (see below), whose sum is σ = 31963627196928. Its totient is φ = 4705347028800.

The previous prime is 13221002301071. The next prime is 13221002301127. The reversal of 13221002301100 is 110320012231.

It is a super-2 number, since 2×132210023011002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127810992 + ... + 127914391.

It is an arithmetic number, because the mean of its divisors is an integer number (443939266624).

Almost surely, 213221002301100 is an apocalyptic number.

13221002301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221002301100 is an abundant number, since it is smaller than the sum of its proper divisors (18742624895828).

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

13221002301100 is a wasteful number, since it uses less digits than its factorization.

13221002301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255725455 (or 255725448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13221002301100 its reverse (110320012231), we get a palindrome (13331322313331).

The spelling of 13221002301100 in words is "thirteen trillion, two hundred twenty-one billion, two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 255725383 511450766 1022901532 1278626915 2557253830 2812979213 5114507660 5625958426 6393134575 11251916852 12019093001 12786269150 14064896065 24038186002 25572538300 28129792130 48076372004 56259584260 60095465005 70324480325 120190930010 132210023011 140648960650 240381860020 264420046022 281297921300 300477325025 528840092044 600954650050 661050115055 1201909300100 1322100230110 2644200460220 3305250575275 6610501150550 13221002301100