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2034241142101 = 72172699078313
BaseRepresentation
bin11101100110100010001…
…110000111110101010101
321012110201202121002120021
4131212202032013311111
5231312111213021401
64154303435305141
7266653251260500
oct35464216076525
97173652532507
102034241142101
11714798101733
1228a2bb2ab1b1
13119a9c4ab7bc
147065a2a0137
1537dae1112a1
hex1d9a2387d55

2034241142101 has 24 divisors (see below), whose sum is σ = 2514874544280. Its totient is φ = 1634967677952.

The previous prime is 2034241142083. The next prime is 2034241142119. The reversal of 2034241142101 is 1012411424302.

It is an interprime number because it is at equal distance from previous prime (2034241142083) and next prime (2034241142119).

It can be written as a sum of positive squares in 4 ways, for example, as 776813076900 + 1257428065201 = 881370^2 + 1121351^2 .

It is not a de Polignac number, because 2034241142101 - 221 = 2034239044949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034241142191) 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, 4315080 + ... + 4763233.

It is an arithmetic number, because the mean of its divisors is an integer number (104786439345).

Almost surely, 22034241142101 is an apocalyptic number.

It is an amenable number.

2034241142101 is a deficient number, since it is larger than the sum of its proper divisors (480633402179).

2034241142101 is a wasteful number, since it uses less digits than its factorization.

2034241142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078613 (or 9078606 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2034241142101 its reverse (1012411424302), we get a palindrome (3046652566403).

The spelling of 2034241142101 in words is "two trillion, thirty-four billion, two hundred forty-one million, one hundred forty-two thousand, one hundred one".

Divisors: 1 7 17 49 119 269 833 1883 4573 13181 32011 224077 9078313 63548191 154331321 444837337 1080319247 2442066197 7562234729 17094463379 41515125349 119661243653 290605877443 2034241142101