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13442001223100 = 22521717944173517
BaseRepresentation
bin1100001110011011010110…
…1101010011110110111100
31202121001011011210002202212
43003212311231103312330
53230213204303114400
644331100424435552
72555103215121032
oct303466555236674
952531134702685
1013442001223100
1143127a229271a
121611197018bb8
13766762b60c98
1434684c48c552
151849cd5bc335
hexc39b5b53dbc

13442001223100 has 72 divisors (see below), whose sum is σ = 31057517035440. Its totient is φ = 5032246942720.

The previous prime is 13442001223099. The next prime is 13442001223103. The reversal of 13442001223100 is 132210024431.

It is a super-2 number, since 2×134420012231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442001223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21782459 + ... + 22391058.

It is an arithmetic number, because the mean of its divisors is an integer number (431354403270).

Almost surely, 213442001223100 is an apocalyptic number.

13442001223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442001223100 is an abundant number, since it is smaller than the sum of its proper divisors (17615515812340).

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

13442001223100 is a wasteful number, since it uses less digits than its factorization.

13442001223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173727 (or 44173720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13442001223100 its reverse (132210024431), we get a palindrome (13574211247531).

The spelling of 13442001223100 in words is "thirteen trillion, four hundred forty-two billion, one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 179 340 358 425 716 850 895 1700 1790 3043 3580 4475 6086 8950 12172 15215 17900 30430 60860 76075 152150 304300 44173517 88347034 176694068 220867585 441735170 750949789 883470340 1104337925 1501899578 2208675850 3003799156 3754748945 4417351700 7509497890 7907059543 15018995780 15814119086 18773744725 31628238172 37547489450 39535297715 75094978900 79070595430 134420012231 158141190860 197676488575 268840024462 395352977150 537680048924 672100061155 790705954300 1344200122310 2688400244620 3360500305775 6721000611550 13442001223100