Search a number
-
+
11303000520 = 23357231591051
BaseRepresentation
bin10101000011011011…
…00001100111001000
31002011201120220210220
422201231201213020
5141122032004040
65105330310040
7550045630200
oct124155414710
932151526726
1011303000520
114880281649
122235428320
1310b19360b6
14793225400
154624922d0
hex2a1b619c8

11303000520 has 384 divisors, whose sum is σ = 41447116800. Its totient is φ = 2455488000.

The previous prime is 11303000509. The next prime is 11303000539. The reversal of 11303000520 is 2500030311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11303000520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10753995 + ... + 10755045.

It is an arithmetic number, because the mean of its divisors is an integer number (107935200).

Almost surely, 211303000520 is an apocalyptic number.

11303000520 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 11303000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20723558400).

11303000520 is an abundant number, since it is smaller than the sum of its proper divisors (30144116280).

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

11303000520 is a wasteful number, since it uses less digits than its factorization.

11303000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 11303000520 its reverse (2500030311), we get a palindrome (13803030831).

The spelling of 11303000520 in words is "eleven billion, three hundred three million, five hundred twenty", and thus it is an aban number.