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11322222132 = 223131931149827
BaseRepresentation
bin10101000101101101…
…10110011000110100
31002020001202110220110
422202312312120310
5141141442102012
65111254303020
7550401204654
oct124266663064
932201673813
1011322222132
114890110081
12223b957a70
1310b5906130
147959ca364
15463edc73c
hex2a2db6634

11322222132 has 192 divisors, whose sum is σ = 31159296000. Its totient is φ = 3168668160.

The previous prime is 11322222103. The next prime is 11322222133. The reversal of 11322222132 is 23122222311.

11322222132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11322222099 and 11322222108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322222133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13690303 + ... + 13691129.

It is an arithmetic number, because the mean of its divisors is an integer number (162288000).

Almost surely, 211322222132 is an apocalyptic number.

11322222132 is a gapful number since it is divisible by the number (12) 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 11322222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579648000).

11322222132 is an abundant number, since it is smaller than the sum of its proper divisors (19837073868).

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

11322222132 is a wasteful number, since it uses less digits than its factorization.

11322222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 11322222132 its reverse (23122222311), we get a palindrome (34444444443).

The spelling of 11322222132 in words is "eleven billion, three hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-two".