Search a number
-
+
1310123133 = 33114411189
BaseRepresentation
bin100111000010110…
…1110010001111101
310101022020011002000
41032011232101331
510140342420013
6334000252513
744315601654
oct11605562175
93338204060
101310123133
116125919a0
12306911139
1317b5708b7
14c5dd819b
157a03e973
hex4e16e47d

1310123133 has 16 divisors (see below), whose sum is σ = 2117371200. Its totient is φ = 794013840.

The previous prime is 1310123119. The next prime is 1310123149. The reversal of 1310123133 is 3313210131.

It is a happy number.

It is not a de Polignac number, because 1310123133 - 24 = 1310123117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310123153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205298 + ... + 2205891.

It is an arithmetic number, because the mean of its divisors is an integer number (132335700).

Almost surely, 21310123133 is an apocalyptic number.

It is an amenable number.

1310123133 is a deficient number, since it is larger than the sum of its proper divisors (807248067).

1310123133 is a wasteful number, since it uses less digits than its factorization.

1310123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411209 (or 4411203 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1310123133 is about 36195.6231193773. The cubic root of 1310123133 is about 1094.2184627782.

Adding to 1310123133 its reverse (3313210131), we get a palindrome (4623333264).

The spelling of 1310123133 in words is "one billion, three hundred ten million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 297 4411189 13233567 39700701 48523079 119102103 145569237 436707711 1310123133