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11331113132112 = 2431399691686551
BaseRepresentation
bin1010010011100011101011…
…1110010010000001010000
31111010020120202102120121220
42210320322332102001100
52441122104430211422
640033235211045040
72246434355313654
oct244707276220120
944106522376556
1011331113132112
113679552a63934
121330066a40780
1364269a115ab7
142b26008bca64
15149b3556de5c
hexa4e3af92050

11331113132112 has 40 divisors (see below), whose sum is σ = 29272268746560. Its totient is φ = 3777008486400.

The previous prime is 11331113132111. The next prime is 11331113132137. The reversal of 11331113132112 is 21123131113311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331113132111) 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 7 ways as a sum of consecutive naturals, for example, 5875237 + ... + 7561787.

It is an arithmetic number, because the mean of its divisors is an integer number (731806718664).

Almost surely, 211331113132112 is an apocalyptic number.

11331113132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331113132112 is an abundant number, since it is smaller than the sum of its proper divisors (17941155614448).

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

11331113132112 is a wasteful number, since it uses less digits than its factorization.

11331113132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826531 (or 1826525 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

Adding to 11331113132112 its reverse (21123131113311), we get a palindrome (32454244245423).

The spelling of 11331113132112 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 139969 279938 419907 559876 839814 1119752 1679628 1686551 2239504 3359256 3373102 5059653 6718512 6746204 10119306 13492408 20238612 26984816 40477224 80954448 236064856919 472129713838 708194570757 944259427676 1416389141514 1888518855352 2832778283028 3777037710704 5665556566056 11331113132112