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1330012332 = 22331110910271
BaseRepresentation
bin100111101000110…
…0110000010101100
310102200122121221000
41033101212002230
510210440343312
6335550440300
744646626655
oct11721460254
93380577830
101330012332
11622836a50
12311503090
1318271575c
14c88d452c
157bb6cadc
hex4f4660ac

1330012332 has 96 divisors (see below), whose sum is σ = 3796531200. Its totient is φ = 399297600.

The previous prime is 1330012309. The next prime is 1330012367. The reversal of 1330012332 is 2332100331.

1330012332 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 2 + 332 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124357 + ... + 134627.

It is an arithmetic number, because the mean of its divisors is an integer number (39547200).

Almost surely, 21330012332 is an apocalyptic number.

1330012332 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 1330012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898265600).

1330012332 is an abundant number, since it is smaller than the sum of its proper divisors (2466518868).

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

1330012332 is a wasteful number, since it uses less digits than its factorization.

1330012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10404 (or 10396 counting only the distinct ones).

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

The square root of 1330012332 is about 36469.3341315687. The cubic root of 1330012332 is about 1099.7278478236.

Adding to 1330012332 its reverse (2332100331), we get a palindrome (3662112663).

The spelling of 1330012332 in words is "one billion, three hundred thirty million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10271 10791 11772 14388 20542 21582 30813 32373 41084 43164 61626 64746 92439 112981 123252 129492 184878 225962 277317 338943 369756 451924 554634 677886 1016829 1109268 1119539 1355772 2033658 2239078 3050487 3358617 4067316 4478156 6100974 6717234 10075851 12201948 12314929 13434468 20151702 24629858 30227553 36944787 40303404 49259716 60455106 73889574 110834361 120910212 147779148 221668722 332503083 443337444 665006166 1330012332