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11331211320 = 233251113534153
BaseRepresentation
bin10101000110110010…
…01001000000111000
31002020200200011202100
422203121021000320
5141201242230240
65112215103400
7550540464342
oct124331110070
932220604670
1011331211320
11489519a860
122242971b60
1310b7732890
14796c8a292
15464bb5e30
hex2a3649038

11331211320 has 384 divisors, whose sum is σ = 44091552960. Its totient is φ = 2487214080.

The previous prime is 11331211273. The next prime is 11331211321. The reversal of 11331211320 is 2311213311.

11331211320 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 11 + 320 = 666.

It is a super-2 number, since 2×113312113202 (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 junction number, because it is equal to n+sod(n) for n = 11331211293 and 11331211302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2726364 + ... + 2730516.

Almost surely, 211331211320 is an apocalyptic number.

11331211320 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 11331211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22045776480).

11331211320 is an abundant number, since it is smaller than the sum of its proper divisors (32760341640).

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

11331211320 is a wasteful number, since it uses less digits than its factorization.

11331211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331211320 its reverse (2311213311), we get a palindrome (13642424631).

The spelling of 11331211320 in words is "eleven billion, three hundred thirty-one million, two hundred eleven thousand, three hundred twenty".