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2433004200101 = 37149661667657
BaseRepresentation
bin100011011001111010010…
…110011110000010100101
322121121000020122022010102
4203121322112132002211
5304330243033400401
65101412351433445
7340531053322556
oct43317226360245
98547006568112
102433004200101
11858916496212
12333648225885
1314857b78c9a7
1485a8807832d
154344c12356b
hex2367a59e0a5

2433004200101 has 16 divisors (see below), whose sum is σ = 2519340697200. Its totient is φ = 2347798970880.

The previous prime is 2433004200097. The next prime is 2433004200127. The reversal of 2433004200101 is 1010024003342.

2433004200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3349399876 + 2429654800225 = 57874^2 + 1558735^2 .

It is not a de Polignac number, because 2433004200101 - 22 = 2433004200097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433004200181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3310265 + ... + 3977921.

It is an arithmetic number, because the mean of its divisors is an integer number (157458793575).

Almost surely, 22433004200101 is an apocalyptic number.

It is an amenable number.

2433004200101 is a deficient number, since it is larger than the sum of its proper divisors (86336497099).

2433004200101 is a wasteful number, since it uses less digits than its factorization.

2433004200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668504.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2433004200101 its reverse (1010024003342), we get a palindrome (3443028203443).

The spelling of 2433004200101 in words is "two trillion, four hundred thirty-three billion, four million, two hundred thousand, one hundred one".

Divisors: 1 37 149 661 5513 24457 98489 667657 3644093 24703309 99480893 441321277 3680793041 16328887249 65756870273 2433004200101