Search a number
-
+
3105200672520 = 2335199600721647
BaseRepresentation
bin101101001011111100011…
…000100000111100001000
3101222212001202220011012120
4231023330120200330020
5401333422333010040
610334302015011240
7440225524135122
oct55137430407410
911885052804176
103105200672520
11a979a9911041
12421985509b20
13196a8592c65b
14aa414934212
1555b903237d0
hex2d2fc620f08

3105200672520 has 128 divisors (see below), whose sum is σ = 9364405248000. Its totient is φ = 823717230336.

The previous prime is 3105200672491. The next prime is 3105200672543. The reversal of 3105200672520 is 252760025013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143436337 + ... + 143457983.

It is an arithmetic number, because the mean of its divisors is an integer number (73159416000).

Almost surely, 23105200672520 is an apocalyptic number.

3105200672520 is a gapful number since it is divisible by the number (30) 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 3105200672520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682202624000).

3105200672520 is an abundant number, since it is smaller than the sum of its proper divisors (6259204575480).

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

3105200672520 is a wasteful number, since it uses less digits than its factorization.

3105200672520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27867 (or 27863 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 3105200672520 its reverse (252760025013), we get a palindrome (3357960697533).

The spelling of 3105200672520 in words is "three trillion, one hundred five billion, two hundred million, six hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 6007 7960 11940 12014 18021 21647 23880 24028 30035 36042 43294 48056 60070 64941 72084 86588 90105 108235 120140 129882 144168 173176 180210 216470 240280 259764 324705 360420 432940 519528 649410 720840 865880 1195393 1298820 2390786 2597640 3586179 4307753 4781572 5976965 7172358 8615506 9563144 11953930 12923259 14344716 17231012 17930895 21538765 23907860 25846518 28689432 34462024 35861790 43077530 47815720 51693036 64616295 71723580 86155060 103386072 129232590 130033529 143447160 172310120 258465180 260067058 390100587 516930360 520134116 650167645 780201174 1040268232 1300335290 1560402348 1950502935 2600670580 3120804696 3901005870 5201341160 7802011740 15604023480 25876672271 51753344542 77630016813 103506689084 129383361355 155260033626 207013378168 258766722710 310520067252 388150084065 517533445420 621040134504 776300168130 1035066890840 1552600336260 3105200672520