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11211222330 = 23257112612411
BaseRepresentation
bin10100111000011110…
…11010110100111010
31001221022220002210200
422130033122310322
5140430033103310
65052251223030
7544552550250
oct123417326472
931838802720
1011211222330
114833496300
12220a747a76
131098910989
14784d745d0
154593b39c0
hex29c3dad3a

11211222330 has 288 divisors, whose sum is σ = 37232866944. Its totient is φ = 2290464000.

The previous prime is 11211222313. The next prime is 11211222361. The reversal of 11211222330 is 3322211211.

11211222330 is a `hidden beast` number, since 112 + 1 + 1 + 222 + 330 = 666.

It is a super-2 number, since 2×112112223302 (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 an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4648825 + ... + 4651235.

It is an arithmetic number, because the mean of its divisors is an integer number (129280788).

Almost surely, 211211222330 is an apocalyptic number.

11211222330 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 11211222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616433472).

11211222330 is an abundant number, since it is smaller than the sum of its proper divisors (26021644614).

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

11211222330 is a wasteful number, since it uses less digits than its factorization.

11211222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11211222330 its reverse (3322211211), we get a palindrome (14533433541).

The spelling of 11211222330 in words is "eleven billion, two hundred eleven million, two hundred twenty-two thousand, three hundred thirty".