Search a number
-
+
1132212132133 is a prime number
BaseRepresentation
bin10000011110011101000…
…110100001100100100101
311000020102210212121220121
4100132131012201210211
5122022232301212013
62224044151201541
7144541162222135
oct20363506414445
94006383777817
101132212132133
113a71942606a5
1216351b6762b1
13829c855bba4
143cb2962aac5
151e6b88e158d
hex1079d1a1925

1132212132133 has 2 divisors, whose sum is σ = 1132212132134. Its totient is φ = 1132212132132.

The previous prime is 1132212132131. The next prime is 1132212132157. The reversal of 1132212132133 is 3312312122311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1085028472609 + 47183659524 = 1041647^2 + 217218^2 .

It is a cyclic number.

It is not a de Polignac number, because 1132212132133 - 21 = 1132212132131 is a prime.

It is a super-2 number, since 2×11322121321332 (a number of 25 digits) contains 22 as substring.

Together with 1132212132131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1132212132098 and 1132212132107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1132212132131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566106066066 + 566106066067.

It is an arithmetic number, because the mean of its divisors is an integer number (566106066067).

Almost surely, 21132212132133 is an apocalyptic number.

It is an amenable number.

1132212132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1132212132133 is an equidigital number, since it uses as much as digits as its factorization.

1132212132133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 1132212132133 its reverse (3312312122311), we get a palindrome (4444524254444).

The spelling of 1132212132133 in words is "one trillion, one hundred thirty-two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".