Search a number
-
+
2000102002201 = 171271651956081
BaseRepresentation
bin11101000110101111010…
…111101000111000011001
321002012121112210002200101
4131012233113220320121
5230232202103032301
64130500103135401
7264334251336412
oct35065727507031
97065545702611
102000102002201
1170126948a626
12283772144561
131167bb7292c4
146cb3c242809
1537061e2a701
hex1d1af5e8e19

2000102002201 has 16 divisors (see below), whose sum is σ = 2134597570560. Its totient is φ = 1867480151040.

The previous prime is 2000102002181. The next prime is 2000102002229. The reversal of 2000102002201 is 1022002010002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000102002201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000102002271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35636481 + ... + 35692561.

It is an arithmetic number, because the mean of its divisors is an integer number (133412348160).

Almost surely, 22000102002201 is an apocalyptic number.

It is an amenable number.

2000102002201 is a deficient number, since it is larger than the sum of its proper divisors (134495568359).

2000102002201 is a wasteful number, since it uses less digits than its factorization.

2000102002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72744.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000102002201 its reverse (1022002010002), we get a palindrome (3022104012203).

The spelling of 2000102002201 in words is "two trillion, one hundred two million, two thousand, two hundred one".

Divisors: 1 17 127 2159 16519 56081 280823 953377 2097913 7122287 35664521 121078879 926402039 15748834663 117653058953 2000102002201