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313200110200 = 235229127425197
BaseRepresentation
bin1001000111011000010…
…11100110101001111000
31002221102110021002210111
410203230023212221320
520112413212011300
6355514313154104
731425251003545
oct4435413465170
91087373232714
10313200110200
1111091132a48a
125084a0bb934
13236c47c5ac3
14112322bbbcc
15823148c9ba
hex48ec2e6a78

313200110200 has 96 divisors (see below), whose sum is σ = 759233548800. Its totient is φ = 120007319040.

The previous prime is 313200110189. The next prime is 313200110219. The reversal of 313200110200 is 2011002313.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 524002 + ... + 949198.

It is an arithmetic number, because the mean of its divisors is an integer number (7908682800).

Almost surely, 2313200110200 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 313200110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379616774400).

313200110200 is an abundant number, since it is smaller than the sum of its proper divisors (446033438600).

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

313200110200 is a wasteful number, since it uses less digits than its factorization.

313200110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425369 (or 425360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 313200110200 its reverse (2011002313), we get a palindrome (315211112513).

The spelling of 313200110200 in words is "three hundred thirteen billion, two hundred million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 127 145 200 232 254 290 508 580 635 725 1016 1160 1270 1450 2540 2900 3175 3683 5080 5800 6350 7366 12700 14732 18415 25400 29464 36830 73660 92075 147320 184150 368300 425197 736600 850394 1700788 2125985 3401576 4251970 8503940 10629925 12330713 17007880 21259850 24661426 42519700 49322852 54000019 61653565 85039400 98645704 108000038 123307130 216000076 246614260 270000095 308267825 432000152 493228520 540000190 616535650 1080000380 1233071300 1350000475 1566000551 2160000760 2466142600 2700000950 3132001102 5400001900 6264002204 7830002755 10800003800 12528004408 15660005510 31320011020 39150013775 62640022040 78300027550 156600055100 313200110200