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1303131220 = 225181359981
BaseRepresentation
bin100110110101100…
…0011010001010100
310100211001220222021
41031223003101110
510132100144340
6333150342524
744202301246
oct11553032124
93324056867
101303131220
11609646856
123044baa44
13179c93281
14c50d8096
157960ce4a
hex4dac3454

1303131220 has 24 divisors (see below), whose sum is σ = 2751702408. Its totient is φ = 518371200.

The previous prime is 1303131199. The next prime is 1303131223. The reversal of 1303131220 is 221313031.

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 1255851844 = 6876^2 + 35438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1303131194 and 1303131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303131223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176371 + ... + 183610.

It is an arithmetic number, because the mean of its divisors is an integer number (114654267).

Almost surely, 21303131220 is an apocalyptic number.

1303131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303131220 is an abundant number, since it is smaller than the sum of its proper divisors (1448571188).

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

1303131220 is a wasteful number, since it uses less digits than its factorization.

1303131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360171 (or 360169 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1303131220 is about 36098.9088477754. The cubic root of 1303131220 is about 1092.2684346366.

Adding to 1303131220 its reverse (221313031), we get a palindrome (1524444251).

The spelling of 1303131220 in words is "one billion, three hundred three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 359981 719962 1439924 1799905 3599810 7199620 65156561 130313122 260626244 325782805 651565610 1303131220