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1303223010 = 235237325873
BaseRepresentation
bin100110110101101…
…1001101011100010
310100211020120212220
41031223121223202
510132111114020
6333152331510
744203132665
oct11553315342
93324216786
101303223010
116096a9811
12304543b96
13179cc5c9b
14c511d6dc
157962a240
hex4dad9ae2

1303223010 has 64 divisors (see below), whose sum is σ = 3308560128. Its totient is φ = 327849984.

The previous prime is 1303222961. The next prime is 1303223021. The reversal of 1303223010 is 103223031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37434 + ... + 63306.

It is an arithmetic number, because the mean of its divisors is an integer number (51696252).

Almost surely, 21303223010 is an apocalyptic number.

1303223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654280064).

1303223010 is an abundant number, since it is smaller than the sum of its proper divisors (2005337118).

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

1303223010 is a wasteful number, since it uses less digits than its factorization.

1303223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25979.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1303223010 is about 36100.1801934561. The cubic root of 1303223010 is about 1092.2940797812.

Adding to 1303223010 its reverse (103223031), we get a palindrome (1406446041).

The spelling of 1303223010 in words is "one billion, three hundred three million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 146 219 230 345 365 438 690 730 1095 1679 2190 3358 5037 8395 10074 16790 25185 25873 50370 51746 77619 129365 155238 258730 388095 595079 776190 1190158 1785237 1888729 2975395 3570474 3777458 5666187 5950790 8926185 9443645 11332374 17852370 18887290 28330935 43440767 56661870 86881534 130322301 217203835 260644602 434407670 651611505 1303223010