Search a number
-
+
1001231330133 = 33131334395937
BaseRepresentation
bin11101001000111100000…
…10011010101101010101
310112201100112101110212210
432210132002122231111
5112401010210031013
62043543114104033
7132223305612546
oct16443602325525
93481315343783
101001231330133
1135668aa90501
1214206641b019
137355340c558
1436661bb04cd
151b09e8decc3
hexe91e09ab55

1001231330133 has 16 divisors (see below), whose sum is σ = 1382441540096. Its totient is φ = 643891921920.

The previous prime is 1001231330123. The next prime is 1001231330161. The reversal of 1001231330133 is 3310331321001.

1001231330133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001231330133 - 24 = 1001231330117 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 (1001231330123) 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, 17168860 + ... + 17227077.

It is an arithmetic number, because the mean of its divisors is an integer number (86402596256).

Almost surely, 21001231330133 is an apocalyptic number.

It is an amenable number.

1001231330133 is a deficient number, since it is larger than the sum of its proper divisors (381210209963).

1001231330133 is a wasteful number, since it uses less digits than its factorization.

1001231330133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34396284.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1001231330133 its reverse (3310331321001), we get a palindrome (4311562651134).

The spelling of 1001231330133 in words is "one trillion, one billion, two hundred thirty-one million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 31 93 313 939 9703 29109 34395937 103187811 1066274047 3198822141 10765928281 32297784843 333743776711 1001231330133