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1301310220 = 2257171932833
BaseRepresentation
bin100110110010000…
…0110101100001100
310100200122102000211
41031210012230030
510131113411340
6333043332204
744150645230
oct11544065414
93320572024
101301310220
116086126a1
12303981064
131797a6462
14c4b825c0
157939d5ea
hex4d906b0c

1301310220 has 96 divisors (see below), whose sum is σ = 3325166208. Its totient is φ = 417595392.

The previous prime is 1301310211. The next prime is 1301310221. The reversal of 1301310220 is 220131031.

It is a self number, because there is not a number n which added to its sum of digits gives 1301310220.

It is not an unprimeable number, because it can be changed into a prime (1301310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457924 + ... + 460756.

It is an arithmetic number, because the mean of its divisors is an integer number (34637148).

Almost surely, 21301310220 is an apocalyptic number.

1301310220 is a gapful number since it is divisible by the number (10) 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 1301310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662583104).

1301310220 is an abundant number, since it is smaller than the sum of its proper divisors (2023855988).

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

1301310220 is a wasteful number, since it uses less digits than its factorization.

1301310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1301310220 is about 36073.6776611423. The cubic root of 1301310220 is about 1091.7594175867.

Adding to 1301310220 its reverse (220131031), we get a palindrome (1521441251).

The spelling of 1301310220 in words is "one billion, three hundred one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 193 238 340 386 476 595 772 965 1190 1351 1930 2380 2702 2833 3281 3860 5404 5666 6562 6755 11332 13124 13510 14165 16405 19831 22967 27020 28330 32810 39662 45934 48161 56660 65620 79324 91868 96322 99155 114835 192644 198310 229670 240805 337127 396620 459340 481610 546769 674254 963220 1093538 1348508 1685635 2187076 2733845 3371270 3827383 5467690 6742540 7654766 9295073 10935380 15309532 18590146 19136915 37180292 38273830 46475365 65065511 76547660 92950730 130131022 185901460 260262044 325327555 650655110 1301310220