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20031133122 = 2327111310191091
BaseRepresentation
bin10010101001111100…
…101101010111000010
31220201000002222212100
4102221330231113002
5312010432224442
613111400411230
71306250552010
oct225174552702
956630088770
1020031133122
11854a063880
123a70476b16
131b72c885c0
14d804ab8b0
157c386a84c
hex4a9f2d5c2

20031133122 has 192 divisors, whose sum is σ = 58383037440. Its totient is φ = 4793558400.

The previous prime is 20031133121. The next prime is 20031133123. The reversal of 20031133122 is 22133113002.

20031133122 is a `hidden beast` number, since 2 + 0 + 0 + 311 + 331 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (20031133121) and next prime (20031133123).

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 = 20031133095 and 20031133104.

It is not an unprimeable number, because it can be changed into a prime (20031133121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18359797 + ... + 18360887.

It is an arithmetic number, because the mean of its divisors is an integer number (304078320).

Almost surely, 220031133122 is an apocalyptic number.

20031133122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191518720).

20031133122 is an abundant number, since it is smaller than the sum of its proper divisors (38351904318).

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

20031133122 is a wasteful number, since it uses less digits than its factorization.

20031133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20031133122 its reverse (22133113002), we get a palindrome (42164246124).

The spelling of 20031133122 in words is "twenty billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty-two".