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102402344200 = 23521340039839
BaseRepresentation
bin101111101011110100…
…1111100010100001000
3100210022121002001221211
41133113221330110020
53134210000003300
6115013141342504
710253424364312
oct1372751742410
9323277061854
10102402344200
113a4794a9932
1217a1a407a34
13986c4393a0
144d561307b2
1529e50c54ba
hex17d7a7c508

102402344200 has 96 divisors (see below), whose sum is σ = 256489833600. Its totient is φ = 37796808960.

The previous prime is 102402344147. The next prime is 102402344203. The reversal of 102402344200 is 2443204201.

It is a happy number.

102402344200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102402344203) 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, 10402881 + ... + 10412719.

It is an arithmetic number, because the mean of its divisors is an integer number (2671769100).

Almost surely, 2102402344200 is an apocalyptic number.

102402344200 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 102402344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128244916800).

102402344200 is an abundant number, since it is smaller than the sum of its proper divisors (154087489400).

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

102402344200 is a wasteful number, since it uses less digits than its factorization.

102402344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 102402344200 its reverse (2443204201), we get a palindrome (104845548401).

The spelling of 102402344200 in words is "one hundred two billion, four hundred two million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4003 8006 9839 16012 19678 20015 32024 39356 40030 49195 52039 78712 80060 98390 100075 104078 127907 160120 196780 200150 208156 245975 255814 260195 393560 400300 416312 491950 511628 520390 639535 800600 983900 1023256 1040780 1279070 1300975 1967800 2081560 2558140 2601950 3197675 5116280 5203900 6395350 10407800 12790700 25581400 39385517 78771034 157542068 196927585 315084136 393855170 512011721 787710340 984637925 1024023442 1575420680 1969275850 2048046884 2560058605 3938551700 4096093768 5120117210 7877103400 10240234420 12800293025 20480468840 25600586050 51201172100 102402344200