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11213330310 = 23357135379109
BaseRepresentation
bin10100111000101110…
…11101011110000110
31001221110212012102000
422130113131132012
5140431103032220
65052404330130
7544606510050
oct123427353606
931843765360
1011213330310
1148346a6036
12220b3a3946
13109919b2c0
147853628d0
1545967d390
hex29c5dd786

11213330310 has 512 divisors, whose sum is σ = 38320128000. Its totient is φ = 2270840832.

The previous prime is 11213330291. The next prime is 11213330311. The reversal of 11213330310 is 1303331211.

It is a happy number.

11213330310 is a `hidden beast` number, since 1 + 1 + 21 + 3 + 330 + 310 = 666.

It is a super-2 number, since 2×112133303102 (a number of 21 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 (11213330311) 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 255 ways as a sum of consecutive naturals, for example, 102874536 + ... + 102874644.

It is an arithmetic number, because the mean of its divisors is an integer number (74844000).

Almost surely, 211213330310 is an apocalyptic number.

11213330310 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 11213330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064000).

11213330310 is an abundant number, since it is smaller than the sum of its proper divisors (27106797690).

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

11213330310 is a wasteful number, since it uses less digits than its factorization.

11213330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

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

Adding to 11213330310 its reverse (1303331211), we get a palindrome (12516661521).

Subtracting from 11213330310 its reverse (1303331211), we obtain a palindrome (9909999099).

The spelling of 11213330310 in words is "eleven billion, two hundred thirteen million, three hundred thirty thousand, three hundred ten".