Search a number
-
+
1301228602200 = 233252293137103211
BaseRepresentation
bin10010111011110111010…
…001001100001101011000
311121101200212011220121100
4102323313101030031120
5132304404010232300
62433435352511400
7163003441424112
oct22736721141530
94541625156540
101301228602200
1146193669420a
1219022a9ab560
13959227c45a7
1446da08023b2
1523cabc10700
hex12ef744c358

1301228602200 has 1152 divisors, whose sum is σ = 4862060236800. Its totient is φ = 310915584000.

The previous prime is 1301228602103. The next prime is 1301228602241. The reversal of 1301228602200 is 22068221031.

1301228602200 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 28 + 602 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6166960095 + ... + 6166960305.

It is an arithmetic number, because the mean of its divisors is an integer number (4220538400).

Almost surely, 21301228602200 is an apocalyptic number.

1301228602200 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 1301228602200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431030118400).

1301228602200 is an abundant number, since it is smaller than the sum of its proper divisors (3560831634600).

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

1301228602200 is a wasteful number, since it uses less digits than its factorization.

1301228602200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1301228602200 in words is "one trillion, three hundred one billion, two hundred twenty-eight million, six hundred two thousand, two hundred".