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1303130220 = 223576774583
BaseRepresentation
bin100110110101100…
…0011000001101100
310100211001212121020
41031223003001230
510132100131340
6333150334140
744202265320
oct11553030154
93324055536
101303130220
11609646027
123044ba350
13179c92992
14c50d7980
157960c9d0
hex4dac306c

1303130220 has 96 divisors (see below), whose sum is σ = 4177087488. Its totient is φ = 297353472.

The previous prime is 1303130197. The next prime is 1303130221. The reversal of 1303130220 is 220313031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1303130220.

It is not an unprimeable number, because it can be changed into a prime (1303130221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282049 + ... + 286631.

It is an arithmetic number, because the mean of its divisors is an integer number (43511328).

Almost surely, 21303130220 is an apocalyptic number.

1303130220 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 1303130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088543744).

1303130220 is an abundant number, since it is smaller than the sum of its proper divisors (2873957268).

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

1303130220 is a wasteful number, since it uses less digits than its factorization.

1303130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5277 counting only the distinct ones).

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

The square root of 1303130220 is about 36098.8949969386. The cubic root of 1303130220 is about 1092.2681552406.

Adding to 1303130220 its reverse (220313031), we get a palindrome (1523443251).

The spelling of 1303130220 in words is "one billion, three hundred three million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 677 1354 2031 2708 3385 4062 4583 4739 6770 8124 9166 9478 10155 13540 13749 14217 18332 18956 20310 22915 23695 27498 28434 32081 40620 45830 47390 54996 56868 64162 68745 71085 91660 94780 96243 128324 137490 142170 160405 192486 274980 284340 320810 384972 481215 641620 962430 1924860 3102691 6205382 9308073 12410764 15513455 18616146 21718837 31026910 37232292 43437674 46540365 62053820 65156511 86875348 93080730 108594185 130313022 186161460 217188370 260626044 325782555 434376740 651565110 1303130220