Search a number
-
+
11310302300310 = 23251319154193553
BaseRepresentation
bin1010010010010110001010…
…0011010000100010010110
31111001020212102011210020200
42210211202203100202112
52440301444342102220
640015514154441330
72245066556210646
oct244454243204226
944036772153220
1011310302300310
113670743875992
121328019433246
13640731764c40
142b15c8a4c526
1514931853b890
hexa49628d0896

11310302300310 has 192 divisors, whose sum is σ = 31893836921856. Its totient is φ = 2764349337600.

The previous prime is 11310302300267. The next prime is 11310302300317. The reversal of 11310302300310 is 1300320301311.

It is a happy number.

11310302300310 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 302 + 300 + 31 + 0 = 666.

It is a super-2 number, since 2×113103023003102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310302300317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120850494 + ... + 120944046.

It is an arithmetic number, because the mean of its divisors is an integer number (166113733968).

Almost surely, 211310302300310 is an apocalyptic number.

11310302300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310302300310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946918460928).

11310302300310 is an abundant number, since it is smaller than the sum of its proper divisors (20583534621546).

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

11310302300310 is a wasteful number, since it uses less digits than its factorization.

11310302300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94311 (or 94308 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11310302300310 its reverse (1300320301311), we get a palindrome (12610622601621).

The spelling of 11310302300310 in words is "eleven trillion, three hundred ten billion, three hundred two million, three hundred thousand, three hundred ten".