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1303220112 = 243232514703
BaseRepresentation
bin100110110101101…
…1000111110010000
310100211020102220120
41031223120332100
510132111020422
6333152310240
744203121355
oct11553307620
93324212816
101303220112
116096a7617
12304542380
13179cc487c
14c511c62c
157962945c
hex4dad8f90

1303220112 has 80 divisors (see below), whose sum is σ = 3527774208. Its totient is φ = 413776000.

The previous prime is 1303220111. The next prime is 1303220117. The reversal of 1303220112 is 2110223031.

1303220112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1303220091 and 1303220100.

It is not an unprimeable number, because it can be changed into a prime (1303220111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274753 + ... + 279455.

Almost surely, 21303220112 is an apocalyptic number.

1303220112 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 1303220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763887104).

1303220112 is an abundant number, since it is smaller than the sum of its proper divisors (2224554096).

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

1303220112 is a wasteful number, since it uses less digits than its factorization.

1303220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4982 counting only the distinct ones).

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

The square root of 1303220112 is about 36100.1400551300. The cubic root of 1303220112 is about 1092.2932701294.

Adding to 1303220112 its reverse (2110223031), we get a palindrome (3413443143).

The spelling of 1303220112 in words is "one billion, three hundred three million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 251 276 368 502 552 753 1004 1104 1506 2008 3012 4016 4703 5773 6024 9406 11546 12048 14109 17319 18812 23092 28218 34638 37624 46184 56436 69276 75248 92368 108169 112872 138552 216338 225744 277104 324507 432676 649014 865352 1180453 1298028 1730704 2360906 2596056 3541359 4721812 5192112 7082718 9443624 14165436 18887248 27150419 28330872 54300838 56661744 81451257 108601676 162902514 217203352 325805028 434406704 651610056 1303220112