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1300030312 = 237192107601
BaseRepresentation
bin100110101111100…
…1110001101101000
310100121020101022211
41031133032031220
510130301432222
6333000054504
744134034560
oct11537161550
93317211284
101300030312
11607919019
12303464434
13179448a09
14c492bda0
15791e9277
hex4d7ce368

1300030312 has 96 divisors (see below), whose sum is σ = 2972531520. Its totient is φ = 522028800.

The previous prime is 1300030301. The next prime is 1300030321. The reversal of 1300030312 is 2130300031.

It is a junction number, because it is equal to n+sod(n) for n = 1300030292 and 1300030301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162812 + ... + 2163412.

It is an arithmetic number, because the mean of its divisors is an integer number (30963870).

Almost surely, 21300030312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486265760).

1300030312 is an abundant number, since it is smaller than the sum of its proper divisors (1672501208).

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

1300030312 is a wasteful number, since it uses less digits than its factorization.

1300030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300030312 is about 36055.9331039983. The cubic root of 1300030312 is about 1091.4013656365.

Adding to 1300030312 its reverse (2130300031), we get a palindrome (3430330343).

The spelling of 1300030312 in words is "one billion, three hundred million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 107 133 152 214 266 361 428 532 601 722 749 856 1064 1202 1444 1498 2033 2404 2527 2888 2996 4066 4207 4808 5054 5992 8132 8414 10108 11419 14231 16264 16828 20216 22838 28462 33656 38627 45676 56924 64307 77254 79933 91352 113848 128614 154508 159866 216961 257228 270389 309016 319732 433922 450149 514456 540778 639464 867844 900298 1081556 1221833 1518727 1735688 1800596 2163112 2443666 3037454 3601192 4887332 6074908 8552831 9774664 12149816 17105662 23214827 34211324 46429654 68422648 92859308 162503789 185718616 325007578 650015156 1300030312