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1321130200 = 2352131274001
BaseRepresentation
bin100111010111110…
…1101100011011000
310102001221100221011
41032233231203120
510201202131300
6335032223304
744511264355
oct11657554330
93361840834
101321130200
1161881a745
1230a53ab34
13180925960
14c766162c
157aeb5eba
hex4ebed8d8

1321130200 has 96 divisors (see below), whose sum is σ = 3334786560. Its totient is φ = 483840000.

The previous prime is 1321130147. The next prime is 1321130201. The reversal of 1321130200 is 20311231.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328200 + ... + 332200.

It is an arithmetic number, because the mean of its divisors is an integer number (34737360).

Almost surely, 21321130200 is an apocalyptic number.

1321130200 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 1321130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667393280).

1321130200 is an abundant number, since it is smaller than the sum of its proper divisors (2013656360).

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

1321130200 is a wasteful number, since it uses less digits than its factorization.

1321130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4148 counting only the distinct ones).

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

The square root of 1321130200 is about 36347.3547868342. The cubic root of 1321130200 is about 1097.2742983657.

Adding to 1321130200 its reverse (20311231), we get a palindrome (1341441431).

The spelling of 1321130200 in words is "one billion, three hundred twenty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 127 130 200 254 260 325 508 520 635 650 1016 1270 1300 1651 2540 2600 3175 3302 4001 5080 6350 6604 8002 8255 12700 13208 16004 16510 20005 25400 32008 33020 40010 41275 52013 66040 80020 82550 100025 104026 160040 165100 200050 208052 260065 330200 400100 416104 508127 520130 800200 1016254 1040260 1300325 2032508 2080520 2540635 2600650 4065016 5081270 5201300 6605651 10162540 10402600 12703175 13211302 20325080 25406350 26422604 33028255 50812700 52845208 66056510 101625400 132113020 165141275 264226040 330282550 660565100 1321130200