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11403341300 = 22521311177853
BaseRepresentation
bin10101001111011000…
…10010110111110100
31002102201101202111002
422213230102313310
5141323223410200
65123313102432
7552404542001
oct124754226764
932381352432
1011403341300
11492198610a
122262b57a18
1310c9668a40
147a26a48a8
1546b1b2bd5
hex2a7b12df4

11403341300 has 72 divisors (see below), whose sum is σ = 26675985336. Its totient is φ = 4206159360.

The previous prime is 11403341297. The next prime is 11403341309. The reversal of 11403341300 is 314330411.

It can be written as a sum of positive squares in 12 ways, for example, as 10793547664 + 609793636 = 103892^2 + 24694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403341309) by changing a digit.

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, 1448174 + ... + 1456026.

Almost surely, 211403341300 is an apocalyptic number.

11403341300 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 11403341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337992668).

11403341300 is an abundant number, since it is smaller than the sum of its proper divisors (15272644036).

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

11403341300 is a wasteful number, since it uses less digits than its factorization.

11403341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11403341300 its reverse (314330411), we get a palindrome (11717671711).

The spelling of 11403341300 in words is "eleven billion, four hundred three million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1117 1300 2234 4468 5585 7853 11170 14521 15706 22340 27925 29042 31412 39265 55850 58084 72605 78530 102089 111700 145210 157060 196325 204178 290420 363025 392650 408356 510445 726050 785300 1020890 1452100 2041780 2552225 5104450 8771801 10208900 17543602 35087204 43859005 87718010 114033413 175436020 219295025 228066826 438590050 456133652 570167065 877180100 1140334130 2280668260 2850835325 5701670650 11403341300