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13221102133020 = 22359192087114889
BaseRepresentation
bin1100000001100100011100…
…0110001001111100011100
31201210220222100011122022010
43000121013012021330130
53213103304121224040
644041405050351220
72533123143621165
oct300310706117434
951726870148263
1013221102133020
114238046531851
12159640842b510
1374b98aacba22
14339c9492476c
1517dda04cee80
hexc0647189f1c

13221102133020 has 96 divisors (see below), whose sum is σ = 37077447859200. Its totient is φ = 3520072733184.

The previous prime is 13221102133013. The next prime is 13221102133097. The reversal of 13221102133020 is 2033120112231.

It is a super-2 number, since 2×132211021330202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115019736 + ... + 115134624.

It is an arithmetic number, because the mean of its divisors is an integer number (386223415200).

Almost surely, 213221102133020 is an apocalyptic number.

13221102133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221102133020 is an abundant number, since it is smaller than the sum of its proper divisors (23856345726180).

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

13221102133020 is a wasteful number, since it uses less digits than its factorization.

13221102133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117907 (or 117905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13221102133020 its reverse (2033120112231), we get a palindrome (15254222245251).

The spelling of 13221102133020 in words is "thirteen trillion, two hundred twenty-one billion, one hundred two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 919 1838 2087 2757 3676 4174 4595 5514 6261 8348 9190 10435 11028 12522 13785 18380 20870 25044 27570 31305 41740 55140 62610 114889 125220 229778 344667 459556 574445 689334 1148890 1378668 1723335 1917953 2297780 3446670 3835906 5753859 6893340 7671812 9589765 11507718 19179530 23015436 28769295 38359060 57538590 105582991 115077180 211165982 239773343 316748973 422331964 479546686 527914955 633497946 719320029 959093372 1055829910 1198866715 1266995892 1438640058 1583744865 2111659820 2397733430 2877280116 3167489730 3596600145 4795466860 6334979460 7193200290 14386400580 220351702217 440703404434 661055106651 881406808868 1101758511085 1322110213302 2203517022170 2644220426604 3305275533255 4407034044340 6610551066510 13221102133020