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30242400200 = 2352281538121
BaseRepresentation
bin11100001010100101…
…100110011111001000
32220001122102002221022
4130022211212133020
5443414023301300
621520531332012
72120302105655
oct341245463710
986048362838
1030242400200
111190a056981
125a40151008
132b0c67657c
14166c706c2c
15bc005b285
hex70a9667c8

30242400200 has 48 divisors (see below), whose sum is σ = 70563937860. Its totient is φ = 12053888000.

The previous prime is 30242400151. The next prime is 30242400203. The reversal of 30242400200 is 200424203.

It can be written as a sum of positive squares in 6 ways, for example, as 18572783524 + 11669616676 = 136282^2 + 108026^2 .

It is not an unprimeable number, because it can be changed into a prime (30242400203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212861 + ... + 325260.

Almost surely, 230242400200 is an apocalyptic number.

It is an amenable number.

30242400200 is an abundant number, since it is smaller than the sum of its proper divisors (40321537660).

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

30242400200 is a wasteful number, since it uses less digits than its factorization.

30242400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538418 (or 538409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 30242400200 its reverse (200424203), we get a palindrome (30442824403).

The spelling of 30242400200 in words is "thirty billion, two hundred forty-two million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 562 1124 1405 2248 2810 5620 7025 11240 14050 28100 56200 538121 1076242 2152484 2690605 4304968 5381210 10762420 13453025 21524840 26906050 53812100 107624200 151212001 302424002 604848004 756060005 1209696008 1512120010 3024240020 3780300025 6048480040 7560600050 15121200100 30242400200