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1002213312 = 2639753813
BaseRepresentation
bin111011101111001…
…000111111000000
32120211211201012120
4323233020333000
54023031311222
6243240524240
733556446462
oct7357107700
92524751176
101002213312
114747a5771
1223b780680
1312c833739
1497166132
155cebc15c
hex3bbc8fc0

1002213312 has 56 divisors (see below), whose sum is σ = 2679076176. Its totient is φ = 330620928.

The previous prime is 1002213301. The next prime is 1002213319. The reversal of 1002213312 is 2133122001.

It is a junction number, because it is equal to n+sod(n) for n = 1002213291 and 1002213300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8283 + ... + 45530.

It is an arithmetic number, because the mean of its divisors is an integer number (47840646).

Almost surely, 21002213312 is an apocalyptic number.

1002213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002213312 is an abundant number, since it is smaller than the sum of its proper divisors (1676862864).

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

1002213312 is an equidigital number, since it uses as much as digits as its factorization.

1002213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53925 (or 53915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002213312 is about 31657.7527945368. The cubic root of 1002213312 is about 1000.7372270294.

Adding to 1002213312 its reverse (2133122001), we get a palindrome (3135335313).

The spelling of 1002213312 in words is "one billion, two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 18624 53813 107626 161439 215252 322878 430504 645756 861008 1291512 1722016 2583024 3444032 5166048 5219861 10332096 10439722 15659583 20879444 31319166 41758888 62638332 83517776 125276664 167035552 250553328 334071104 501106656 1002213312