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1300103310 = 23511191012053
BaseRepresentation
bin100110101111110…
…0000000010001110
310100121101002110110
41031133200002032
510130311301220
6333001420450
744134460442
oct11537400216
93317332413
101300103310
11607968950
1230349a726
13179472ccc
14c494a822
1579210be0
hex4d7e008e

1300103310 has 128 divisors (see below), whose sum is σ = 3620298240. Its totient is φ = 295488000.

The previous prime is 1300103293. The next prime is 1300103333. The reversal of 1300103310 is 133010031.

It is a super-2 number, since 2×13001033102 = 3380537233345912200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632244 + ... + 634296.

It is an arithmetic number, because the mean of its divisors is an integer number (28283580).

Almost surely, 21300103310 is an apocalyptic number.

1300103310 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 1300103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810149120).

1300103310 is an abundant number, since it is smaller than the sum of its proper divisors (2320194930).

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

1300103310 is a wasteful number, since it uses less digits than its factorization.

1300103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300103310 is about 36056.9453781099. The cubic root of 1300103310 is about 1091.4217930129.

Adding to 1300103310 its reverse (133010031), we get a palindrome (1433113341).

The spelling of 1300103310 in words is "one billion, three hundred million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 101 110 114 165 190 202 209 285 303 330 418 505 570 606 627 1010 1045 1111 1254 1515 1919 2053 2090 2222 3030 3135 3333 3838 4106 5555 5757 6159 6270 6666 9595 10265 11110 11514 12318 16665 19190 20530 21109 22583 28785 30795 33330 39007 42218 45166 57570 61590 63327 67749 78014 105545 112915 117021 126654 135498 195035 207353 211090 225830 234042 316635 338745 390070 414706 429077 585105 622059 633270 677490 858154 1036765 1170210 1244118 1287231 2073530 2145385 2280883 2574462 3110295 3939707 4290770 4561766 6220590 6436155 6842649 7879414 11404415 11819121 12872310 13685298 19698535 22808830 23638242 34213245 39397070 43336777 59095605 68426490 86673554 118191210 130010331 216683885 260020662 433367770 650051655 1300103310