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111022132320 = 253251117833931
BaseRepresentation
bin110011101100101101…
…1110100110001100000
3101121120022201200022200
41213121123310301200
53304333131213240
6123000341333200
711010142361031
oct1473133646140
9347508650280
10111022132320
11430a2110270
1219625107200
13a6141b5c28
145532c52a88
152d4bbeb930
hex19d96f4c60

111022132320 has 288 divisors, whose sum is σ = 413642121984. Its totient is φ = 26892518400.

The previous prime is 111022132297. The next prime is 111022132349. The reversal of 111022132320 is 23231220111.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 111022132293 and 111022132302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28240755 + ... + 28244685.

It is an arithmetic number, because the mean of its divisors is an integer number (1436257368).

Almost surely, 2111022132320 is an apocalyptic number.

111022132320 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 111022132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206821060992).

111022132320 is an abundant number, since it is smaller than the sum of its proper divisors (302619989664).

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

111022132320 is a wasteful number, since it uses less digits than its factorization.

111022132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5735 counting only the distinct ones).

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

Adding to 111022132320 its reverse (23231220111), we get a palindrome (134253352431).

It can be divided in two parts, 111022 and 132320, that added together give a palindrome (243342).

The spelling of 111022132320 in words is "one hundred eleven billion, twenty-two million, one hundred thirty-two thousand, three hundred twenty".