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13301344012220 = 22511293307672151
BaseRepresentation
bin1100000110001111010111…
…1000101000011110111100
31202002121002112102110011222
43001203311320220132330
53220412123031342340
644142315244332512
72541663463423025
oct301436570503674
952077075373158
1013301344012220
114269082a252a0
1215a9a81244138
13756408091b14
1433db07863c4c
15180ee9d2b8b5
hexc18f5e287bc

13301344012220 has 96 divisors (see below), whose sum is σ = 30675812783616. Its totient is φ = 4804635744000.

The previous prime is 13301344012219. The next prime is 13301344012237. The reversal of 13301344012220 is 2221044310331.

It is a self number, because there is not a number n which added to its sum of digits gives 13301344012220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19453145 + ... + 20125295.

It is an arithmetic number, because the mean of its divisors is an integer number (319539716496).

Almost surely, 213301344012220 is an apocalyptic number.

13301344012220 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 13301344012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337906391808).

13301344012220 is an abundant number, since it is smaller than the sum of its proper divisors (17374468771396).

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

13301344012220 is a wasteful number, since it uses less digits than its factorization.

13301344012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672771 (or 672769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13301344012220 its reverse (2221044310331), we get a palindrome (15522388322551).

The spelling of 13301344012220 in words is "thirteen trillion, three hundred one billion, three hundred forty-four million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 307 586 614 1172 1228 1465 1535 2930 3070 3223 3377 5860 6140 6446 6754 12892 13508 16115 16885 32230 33770 64460 67540 89951 179902 359804 449755 672151 899510 989461 1344302 1799020 1978922 2688604 3360755 3957844 4947305 6721510 7393661 9894610 13443020 14787322 19789220 29574644 36968305 73936610 147873220 196940243 206350357 393880486 412700714 787760972 825401428 984701215 1031751785 1969402430 2063503570 2166342673 2269853927 3938804860 4127007140 4332685346 4539707854 8665370692 9079415708 10831713365 11349269635 21663426730 22698539270 43326853460 45397078540 60460654601 120921309202 241842618404 302303273005 604606546010 665067200611 1209213092020 1330134401222 2660268802444 3325336003055 6650672006110 13301344012220