Search a number
-
+
1132312132311 = 33710139901
BaseRepresentation
bin10000011110100011000…
…011111111101011010111
311000020200210001011100220
4100132203003333223113
5122022433401213221
62224102122405423
7144543515214633
oct20364303775327
94006623034326
101132312132311
113a7235752278
12163549060873
1382a131a27a9
143cb38a1bdc3
151e6c25960c6
hex107a30ffad7

1132312132311 has 32 divisors (see below), whose sum is σ = 1566217242816. Its totient is φ = 727127280000.

The previous prime is 1132312132309. The next prime is 1132312132313.

1132312132311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1132312132309) and next prime (1132312132313).

It is not a de Polignac number, because 1132312132311 - 21 = 1132312132309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132312132313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114358461 + ... + 114368361.

It is an arithmetic number, because the mean of its divisors is an integer number (48944288838).

Almost surely, 21132312132311 is an apocalyptic number.

1132312132311 is a deficient number, since it is larger than the sum of its proper divisors (433905110505).

1132312132311 is an frugal number, since it uses more digits than its factorization.

1132312132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10042 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 1132312132311 in words is "one trillion, one hundred thirty-two billion, three hundred twelve million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 37 101 111 303 3737 9901 10201 11211 29703 30603 366337 377437 1000001 1030301 1099011 1132311 3000003 3090903 37000037 38121137 101000101 111000111 114363411 303000303 3737003737 10201010201 11211011211 30603030603 377437377437 1132312132311