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1132152318 = 232117972379
BaseRepresentation
bin100001101111011…
…0100010111111110
32220220100022000100
41003132310113332
54304312333233
6304201541530
740025064423
oct10336642776
92826308010
101132152318
11531085880
122771a48a6
1315072a51b
14aa50bd4a
15695d7813
hex437b45fe

1132152318 has 48 divisors (see below), whose sum is σ = 2709907200. Its totient is φ = 338729040.

The previous prime is 1132152269. The next prime is 1132152319. The reversal of 1132152318 is 8132512311.

1132152318 is a `hidden beast` number, since 1 + 132 + 1 + 523 + 1 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1132152291 and 1132152300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132152319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20548 + ... + 51831.

It is an arithmetic number, because the mean of its divisors is an integer number (56456400).

Almost surely, 21132152318 is an apocalyptic number.

1132152318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1132152318 is an abundant number, since it is smaller than the sum of its proper divisors (1577754882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132152318 is a wasteful number, since it uses less digits than its factorization.

1132152318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72477 (or 72474 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 1132152318 is about 33647.4711976992. The cubic root of 1132152318 is about 1042.2413194590.

Adding to 1132152318 its reverse (8132512311), we get a palindrome (9264664629).

The spelling of 1132152318 in words is "one billion, one hundred thirty-two million, one hundred fifty-two thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 15642 72379 144758 217137 434274 651411 796169 1302822 1592338 2388507 4777014 5717941 7165521 11435882 14331042 17153823 34307646 51461469 62897351 102922938 125794702 188692053 377384106 566076159 1132152318