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1330201332 = 223347271967
BaseRepresentation
bin100111101001001…
…0100001011110100
310102201000020012000
41033102110023310
510211012420312
6335554455300
744651344665
oct11722241364
93381006160
101330201332
11622955a49
12311594530
131827807a5
14c894336c
157bba8adc
hex4f4942f4

1330201332 has 96 divisors (see below), whose sum is σ = 3538698240. Its totient is φ = 431917920.

The previous prime is 1330201321. The next prime is 1330201333. The reversal of 1330201332 is 2331020331.

1330201332 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 1 + 332 = 666.

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 (1330201333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375113 + ... + 1376079.

It is an arithmetic number, because the mean of its divisors is an integer number (36861440).

Almost surely, 21330201332 is an apocalyptic number.

1330201332 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 1330201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769349120).

1330201332 is an abundant number, since it is smaller than the sum of its proper divisors (2208496908).

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

1330201332 is a wasteful number, since it uses less digits than its factorization.

1330201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330201332 is about 36471.9252576554. The cubic root of 1330201332 is about 1099.7799372450.

Adding to 1330201332 its reverse (2331020331), we get a palindrome (3661221663).

The spelling of 1330201332 in words is "one billion, three hundred thirty million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 271 282 423 542 564 813 846 967 1084 1269 1626 1692 1934 2439 2538 2901 3252 3868 4878 5076 5802 7317 8703 9756 11604 12737 14634 17406 25474 26109 29268 34812 38211 45449 50948 52218 76422 90898 104436 114633 136347 152844 181796 229266 262057 272694 343899 409041 458532 524114 545388 687798 786171 818082 1048228 1227123 1375596 1572342 1636164 2358513 2454246 3144684 4717026 4908492 7075539 9434052 12316679 14151078 24633358 28302156 36950037 49266716 73900074 110850111 147800148 221700222 332550333 443400444 665100666 1330201332