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1002304112 = 241925712829
BaseRepresentation
bin111011101111011…
…111001001110000
32120212000022202112
4323233133021300
54023042212422
6243242504452
733560305265
oct7357371160
92525008675
101002304112
11474857a07
1223b805128
1312c865b74
149718b26c
155ced8ee2
hex3bbdf270

1002304112 has 40 divisors (see below), whose sum is σ = 2052286800. Its totient is φ = 472891392.

The previous prime is 1002304111. The next prime is 1002304123. The reversal of 1002304112 is 2114032001.

It is a super-2 number, since 2×10023041122 = 2009227065864217088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002304111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71714 + ... + 84542.

It is an arithmetic number, because the mean of its divisors is an integer number (51307170).

Almost surely, 21002304112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026143400).

1002304112 is an abundant number, since it is smaller than the sum of its proper divisors (1049982688).

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

1002304112 is a wasteful number, since it uses less digits than its factorization.

1002304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13113 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1002304112 is about 31659.1868499493. The cubic root of 1002304112 is about 1000.7674482059.

Adding to 1002304112 its reverse (2114032001), we get a palindrome (3116336113).

The spelling of 1002304112 in words is "one billion, two million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 257 304 514 1028 2056 4112 4883 9766 12829 19532 25658 39064 51316 78128 102632 205264 243751 487502 975004 1950008 3297053 3900016 6594106 13188212 26376424 52752848 62644007 125288014 250576028 501152056 1002304112