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1312124200 = 235222928649
BaseRepresentation
bin100111000110101…
…0110110100101000
310101102222211000121
41032031112310220
510141400433300
6334111213024
744341604662
oct11615266450
93342884017
101312124200
11613729372
12307517174
1317bac166a
14c6399532
157a2d781a
hex4e356d28

1312124200 has 48 divisors (see below), whose sum is σ = 3064117500. Its totient is φ = 522539520.

The previous prime is 1312124183. The next prime is 1312124207. The reversal of 1312124200 is 24212131.

It can be written as a sum of positive squares in 6 ways, for example, as 783216196 + 528908004 = 27986^2 + 22998^2 .

It is not an unprimeable number, because it can be changed into a prime (1312124207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31476 + ... + 60124.

Almost surely, 21312124200 is an apocalyptic number.

1312124200 is a gapful number since it is divisible by the number (10) 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 1312124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532058750).

1312124200 is an abundant number, since it is smaller than the sum of its proper divisors (1751993300).

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

1312124200 is a wasteful number, since it uses less digits than its factorization.

1312124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28894 (or 28885 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312124200 is about 36223.2549614195. The cubic root of 1312124200 is about 1094.7752782801.

Adding to 1312124200 its reverse (24212131), we get a palindrome (1336336331).

The spelling of 1312124200 in words is "one billion, three hundred twelve million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 4580 5725 9160 11450 22900 28649 45800 57298 114596 143245 229192 286490 572980 716225 1145960 1432450 2864900 5729800 6560621 13121242 26242484 32803105 52484968 65606210 131212420 164015525 262424840 328031050 656062100 1312124200