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21420212200 = 23524111323117
BaseRepresentation
bin10011111100101111…
…100111111111101000
32001021210220112010121
4103330233213333220
5322332033242300
613501301253024
71355545541152
oct237457477750
961253815117
1021420212200
1190a2173512
124199704174
1320349b229a
141072b79ad2
158557a481a
hex4fcbe7fe8

21420212200 has 96 divisors (see below), whose sum is σ = 51470377560. Its totient is φ = 8284774400.

The previous prime is 21420212183. The next prime is 21420212221. The reversal of 21420212200 is 221202412.

It can be written as a sum of positive squares in 12 ways, for example, as 9656206756 + 11764005444 = 98266^2 + 108462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915042 + ... + 938158.

Almost surely, 221420212200 is an apocalyptic number.

21420212200 is a gapful number since it is divisible by the number (20) 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 21420212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25735188780).

21420212200 is an abundant number, since it is smaller than the sum of its proper divisors (30050165360).

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

21420212200 is a wasteful number, since it uses less digits than its factorization.

21420212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23287 (or 23278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21420212200 its reverse (221202412), we get a palindrome (21641414612).

The spelling of 21420212200 in words is "twenty-one billion, four hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 113 164 200 205 226 328 410 452 565 820 904 1025 1130 1640 2050 2260 2825 4100 4520 4633 5650 8200 9266 11300 18532 22600 23117 23165 37064 46234 46330 92468 92660 115585 115825 184936 185320 231170 231650 462340 463300 577925 924680 926600 947797 1155850 1895594 2311700 2612221 3791188 4623400 4738985 5224442 7582376 9477970 10448884 13061105 18955940 20897768 23694925 26122210 37911880 47389850 52244420 65305525 94779700 104488840 107101061 130611050 189559400 214202122 261222100 428404244 522444200 535505305 856808488 1071010610 2142021220 2677526525 4284042440 5355053050 10710106100 21420212200