Search a number
-
+
1000201002213 = 37571267731159
BaseRepresentation
bin11101000111000001010…
…00000001110011100101
310112121200201122101200110
432203200220001303211
5112341402424032323
62043252550403233
7132155625146220
oct16434050016345
93477621571613
101000201002213
11356201432926
12141a19360519
137341ab1406a
14365a500a5b7
151b03e21c793
hexe8e0a01ce5

1000201002213 has 32 divisors (see below), whose sum is σ = 1527404369920. Its totient is φ = 570311046720.

The previous prime is 1000201002197. The next prime is 1000201002217. The reversal of 1000201002213 is 3122001020001.

It is not a de Polignac number, because 1000201002213 - 24 = 1000201002197 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 (1000201002217) 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 31 ways as a sum of consecutive naturals, for example, 32084328 + ... + 32115486.

It is an arithmetic number, because the mean of its divisors is an integer number (47731386560).

Almost surely, 21000201002213 is an apocalyptic number.

It is an amenable number.

1000201002213 is a deficient number, since it is larger than the sum of its proper divisors (527203367707).

1000201002213 is a wasteful number, since it uses less digits than its factorization.

1000201002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000201002213 its reverse (3122001020001), we get a palindrome (4122202022214).

The spelling of 1000201002213 in words is "one trillion, two hundred one million, two thousand, two hundred thirteen".

Divisors: 1 3 7 21 571 1713 2677 3997 8031 11991 18739 31159 56217 93477 218113 654339 1528567 4585701 10699969 17791789 32099907 53375367 83412643 124542523 250237929 373627569 583888501 1751665503 47628619153 142885857459 333400334071 1000201002213