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1300320330 = 235414783271
BaseRepresentation
bin100110110000001…
…0101000001001010
310100121210010011020
41031200111001022
510130340222310
6333010213310
744136353241
oct11540250112
93317703136
101300320330
11607aa6a01
12303584236
1317951aa1a
14c49a5958
1579255170
hex4d81504a

1300320330 has 128 divisors (see below), whose sum is σ = 3316432896. Its totient is φ = 325900800.

The previous prime is 1300320317. The next prime is 1300320353. The reversal of 1300320330 is 330230031.

It is a super-2 number, since 2×13003203302 = 3381665921222617800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4798095 + ... + 4798365.

It is an arithmetic number, because the mean of its divisors is an integer number (25909632).

Almost surely, 21300320330 is an apocalyptic number.

1300320330 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 1300320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658216448).

1300320330 is an abundant number, since it is smaller than the sum of its proper divisors (2016112566).

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

1300320330 is a wasteful number, since it uses less digits than its factorization.

1300320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 1300320330 is about 36059.9546588733. The cubic root of 1300320330 is about 1091.4825182331.

Adding to 1300320330 its reverse (330230031), we get a palindrome (1630550361).

It can be divided in two parts, 13003 and 20330, that added together give a palindrome (33333).

The spelling of 1300320330 in words is "one billion, three hundred million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 83 94 123 141 166 205 235 246 249 271 282 410 415 470 498 542 615 705 813 830 1230 1245 1355 1410 1626 1927 2490 2710 3403 3854 3901 4065 5781 6806 7802 8130 9635 10209 11111 11562 11703 12737 17015 19270 19505 20418 22222 22493 23406 25474 28905 33333 34030 38211 39010 44986 51045 55555 57810 58515 63685 66666 67479 76422 102090 111110 112465 117030 127370 134958 159941 166665 191055 224930 319882 333330 337395 382110 479823 522217 674790 799705 922213 959646 1044434 1057171 1566651 1599410 1844426 2114342 2399115 2611085 2766639 3133302 3171513 4611065 4798230 5222170 5285855 5533278 6343026 7833255 9222130 10571710 13833195 15666510 15857565 27666390 31715130 43344011 86688022 130032033 216720055 260064066 433440110 650160165 1300320330