Search a number
-
+
1132131331201 = 131016047142591
BaseRepresentation
bin10000011110011000010…
…010010010110010000001
311000020020011211111212111
4100132120102102302001
5122022101110044301
62224032143255321
7144536161351663
oct20363022226201
94006204744774
101132131331201
113a7152692772
121634b85aa541
13829b48ab0a0
143cb1c9d6533
151e6b1780551
hex10798492c81

1132131331201 has 16 divisors (see below), whose sum is σ = 1231502082048. Its totient is φ = 1034518968000.

The previous prime is 1132131331183. The next prime is 1132131331217. The reversal of 1132131331201 is 1021331312311.

It is a cyclic number.

It is not a de Polignac number, because 1132131331201 - 29 = 1132131330689 is a prime.

It is a super-3 number, since 3×11321313312013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1132131331801) 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, 7868416 + ... + 8011006.

It is an arithmetic number, because the mean of its divisors is an integer number (76968880128).

Almost surely, 21132131331201 is an apocalyptic number.

It is an amenable number.

1132131331201 is a deficient number, since it is larger than the sum of its proper divisors (99370750847).

1132131331201 is a wasteful number, since it uses less digits than its factorization.

1132131331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148752.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1132131331201 its reverse (1021331312311), we get a palindrome (2153462643512).

The spelling of 1132131331201 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 13 101 1313 6047 78611 142591 610747 1853683 7939711 14401691 187221983 862247777 11209221101 87087025477 1132131331201