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13202400112220 = 225111571811211063
BaseRepresentation
bin1100000000011110110001…
…0111100110111001011100
31201202010200222000112210002
43000013230113212321130
53212302003412042340
644025033205233432
72531561532230204
oct300075427467134
951663628015702
1013202400112220
11423011974a810
121592869102878
13749c9a302327
14338ddcb95404
1517d6586a5715
hexc01ec5e6e5c

13202400112220 has 96 divisors (see below), whose sum is σ = 30455096587776. Its totient is φ = 4767637305600.

The previous prime is 13202400112211. The next prime is 13202400112249. The reversal of 13202400112220 is 2221100420231.

13202400112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13202400112192 and 13202400112201.

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, 62446409 + ... + 62657471.

It is an arithmetic number, because the mean of its divisors is an integer number (317240589456).

Almost surely, 213202400112220 is an apocalyptic number.

13202400112220 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 13202400112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227548293888).

13202400112220 is an abundant number, since it is smaller than the sum of its proper divisors (17252696475556).

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

13202400112220 is a wasteful number, since it uses less digits than its factorization.

13202400112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213051 (or 213049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13202400112220 its reverse (2221100420231), we get a palindrome (15423500532451).

The spelling of 13202400112220 in words is "thirteen trillion, two hundred two billion, four hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 1811 3140 3454 3622 6908 7244 8635 9055 17270 18110 19921 34540 36220 39842 79684 99605 199210 211063 284327 398420 422126 568654 844252 1055315 1137308 1421635 2110630 2321693 2843270 3127597 4221260 4643386 5686540 6255194 9286772 11608465 12510388 15637985 23216930 31275970 33136891 46433860 62551940 66273782 132547564 165684455 331368910 364505801 382235093 662737820 729011602 764470186 1458023204 1528940372 1822529005 1911175465 3645058010 3822350930 4204586023 7290116020 7644701860 8409172046 16818344092 21022930115 42045860230 60010909601 84091720460 120021819202 240043638404 300054548005 600109096010 660120005611 1200218192020 1320240011222 2640480022444 3300600028055 6601200056110 13202400112220