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1132102320 = 243523237241
BaseRepresentation
bin100001101111010…
…1000001010110000
32220220020202102120
41003132220022300
54304304233240
6304200514240
740024465566
oct10336501260
92826222376
101132102320
11531051258
1227717b980
1315071083b
14aa4d7a36
15695c7ad0
hex437a82b0

1132102320 has 240 divisors, whose sum is σ = 3783528672. Its totient is φ = 279797760.

The previous prime is 1132102303. The next prime is 1132102333. The reversal of 1132102320 is 232012311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132102320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4697400 + ... + 4697640.

Almost surely, 21132102320 is an apocalyptic number.

1132102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891764336).

1132102320 is an abundant number, since it is smaller than the sum of its proper divisors (2651426352).

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

1132102320 is a wasteful number, since it uses less digits than its factorization.

1132102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1132102320 is about 33646.7282213293. The cubic root of 1132102320 is about 1042.2259767800.

Adding to 1132102320 its reverse (232012311), we get a palindrome (1364114631).

Subtracting from 1132102320 its reverse (232012311), we obtain a palindrome (900090009).

The spelling of 1132102320 in words is "one billion, one hundred thirty-two million, one hundred two thousand, three hundred twenty".