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1013303232 = 26322636689
BaseRepresentation
bin111100011001011…
…100011111000000
32121121201010201100
4330121130133000
54033401200412
6244314334400
734052635554
oct7431343700
92547633640
101013303232
1147aa8a797
1224342a400
13131c17416
1498811864
155de5cedc
hex3c65c7c0

1013303232 has 84 divisors (see below), whose sum is σ = 2915930160. Its totient is φ = 336433152.

The previous prime is 1013303227. The next prime is 1013303261. The reversal of 1013303232 is 2323033101.

1013303232 is a `hidden beast` number, since 10 + 1 + 330 + 323 + 2 = 666.

1013303232 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148144 + ... + 154832.

Almost surely, 21013303232 is an apocalyptic number.

1013303232 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 1013303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457965080).

1013303232 is an abundant number, since it is smaller than the sum of its proper divisors (1902626928).

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

1013303232 is a wasteful number, since it uses less digits than its factorization.

1013303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6957 counting only the distinct ones).

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

The square root of 1013303232 is about 31832.4242243659. The cubic root of 1013303232 is about 1004.4148907226.

Adding to 1013303232 its reverse (2323033101), we get a palindrome (3336336333).

The spelling of 1013303232 in words is "one billion, thirteen million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 263 288 526 576 789 1052 1578 2104 2367 3156 4208 4734 6312 6689 8416 9468 12624 13378 16832 18936 20067 25248 26756 37872 40134 50496 53512 60201 75744 80268 107024 120402 151488 160536 214048 240804 321072 428096 481608 642144 963216 1284288 1759207 1926432 3518414 3852864 5277621 7036828 10555242 14073656 15832863 21110484 28147312 31665726 42220968 56294624 63331452 84441936 112589248 126662904 168883872 253325808 337767744 506651616 1013303232