Search a number
-
+
1003034132231 = 12713160289363
BaseRepresentation
bin11101001100010010111…
…11100011111100000111
310112220000011200022102212
432212021133203330013
5112413203214212411
62044442034254035
7132316056310415
oct16461137437407
93486004608385
101003034132231
1135742568939a
1214248a12731b
137377ca70b61
14367933b62b5
151b157ced68b
hexe9897e3f07

1003034132231 has 8 divisors (see below), whose sum is σ = 1018649094144. Its totient is φ = 987539749560.

The previous prime is 1003034132227. The next prime is 1003034132251. The reversal of 1003034132231 is 1322314303001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003034132231 - 22 = 1003034132227 is a prime.

It is a super-2 number, since 2×10030341322312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003034132197 and 1003034132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003034132251) 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 7 ways as a sum of consecutive naturals, for example, 30128045 + ... + 30161318.

It is an arithmetic number, because the mean of its divisors is an integer number (127331136768).

Almost surely, 21003034132231 is an apocalyptic number.

1003034132231 is a deficient number, since it is larger than the sum of its proper divisors (15614961913).

1003034132231 is a wasteful number, since it uses less digits than its factorization.

1003034132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60289621.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1003034132231 its reverse (1322314303001), we get a palindrome (2325348435232).

The spelling of 1003034132231 in words is "one trillion, three billion, thirty-four million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 127 131 16637 60289363 7656749101 7897906553 1003034132231