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4100130300 = 2235273535531
BaseRepresentation
bin1111010001100011…
…0000010111111100
3101120202010012101210
43310120300113330
531344113132200
61514504004420
7203414350440
oct36430602774
911522105353
104100130300
111814464642
12965160710
135045ac606
142ac77a820
1518ee53650
hexf46305fc

4100130300 has 144 divisors (see below), whose sum is σ = 13598629632. Its totient is φ = 934348800.

The previous prime is 4100130269. The next prime is 4100130347. The reversal of 4100130300 is 30310014.

It is a super-2 number, since 2×41001303002 = 33622136953956180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 738535 + ... + 744065.

It is an arithmetic number, because the mean of its divisors is an integer number (94434928).

Almost surely, 24100130300 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 4100130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799314816).

4100130300 is an abundant number, since it is smaller than the sum of its proper divisors (9498499332).

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

4100130300 is a wasteful number, since it uses less digits than its factorization.

4100130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 4100130300 is about 64032.2598383034. The cubic root of 4100130300 is about 1600.5376188127.

Adding to 4100130300 its reverse (30310014), we get a palindrome (4130440314).

The spelling of 4100130300 in words is "four billion, one hundred million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 353 420 525 700 706 1050 1059 1412 1765 2100 2118 2471 3530 4236 4942 5295 5531 7060 7413 8825 9884 10590 11062 12355 14826 16593 17650 21180 22124 24710 26475 27655 29652 33186 35300 37065 38717 49420 52950 55310 61775 66372 74130 77434 82965 105900 110620 116151 123550 138275 148260 154868 165930 185325 193585 232302 247100 276550 331860 370650 387170 414825 464604 553100 580755 741300 774340 829650 967925 1161510 1659300 1935850 1952443 2323020 2903775 3871700 3904886 5807550 5857329 7809772 9762215 11615100 11714658 13667101 19524430 23429316 27334202 29286645 39048860 41001303 48811075 54668404 58573290 68335505 82002606 97622150 117146580 136671010 146433225 164005212 195244300 205006515 273342020 292866450 341677525 410013030 585732900 683355050 820026060 1025032575 1366710100 2050065150 4100130300