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1150201332 = 2232710145191
BaseRepresentation
bin100010010001110…
…1010110111110100
32222011022021121100
41010203222313310
54323422420312
6310044450100
740334356440
oct10443526764
92864267540
101150201332
11540293315
12281249930
131543a9907
14aca89820
156aea05dc
hex448eadf4

1150201332 has 72 divisors (see below), whose sum is σ = 3355777152. Its totient is φ = 325368000.

The previous prime is 1150201289. The next prime is 1150201333. The reversal of 1150201332 is 2331020511.

1150201332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150201333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2857 + ... + 48047.

It is an arithmetic number, because the mean of its divisors is an integer number (46608016).

Almost surely, 21150201332 is an apocalyptic number.

1150201332 is a gapful number since it is divisible by the number (12) 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 1150201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677888576).

1150201332 is an abundant number, since it is smaller than the sum of its proper divisors (2205575820).

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

1150201332 is a wasteful number, since it uses less digits than its factorization.

1150201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45309 (or 45304 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1150201332 is about 33914.6182641055. The cubic root of 1150201332 is about 1047.7506897296.

Adding to 1150201332 its reverse (2331020511), we get a palindrome (3481221843).

The spelling of 1150201332 in words is "one billion, one hundred fifty million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 6363 8484 12726 25452 45191 90382 135573 180764 271146 316337 406719 542292 632674 813438 949011 1265348 1626876 1898022 2847033 3796044 4564291 5694066 9128582 11388132 13692873 18257164 27385746 31950037 41078619 54771492 63900074 82157238 95850111 127800148 164314476 191700222 287550333 383400444 575100666 1150201332