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20132211021120 = 26325111095830151
BaseRepresentation
bin1001001001111011001010…
…10010010101010101000000
32122021121202101211021001200
410210331211102111111000
510114321232010133440
6110452335435101200
74145334646116642
oct444754522252500
978247671737050
1020132211021120
116462028304050
1223119108a1800
13b305c8278493
144d8593232892
1524da41d91c30
hex124f65495540

20132211021120 has 336 divisors, whose sum is σ = 76234601139840. Its totient is φ = 4835759616000.

The previous prime is 20132211021107. The next prime is 20132211021133. The reversal of 20132211021120 is 2112011223102.

20132211021120 is a `hidden beast` number, since 2 + 0 + 1 + 322 + 110 + 211 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20132211021107) and next prime (20132211021133).

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 = 20132211021093 and 20132211021102.

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, 538045 + ... + 6368195.

Almost surely, 220132211021120 is an apocalyptic number.

20132211021120 is a gapful number since it is divisible by the number (20) 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 20132211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117300569920).

20132211021120 is an abundant number, since it is smaller than the sum of its proper divisors (56102390118720).

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

20132211021120 is a wasteful number, since it uses less digits than its factorization.

20132211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830294 (or 5830281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20132211021120 its reverse (2112011223102), we get a palindrome (22244222244222).

The spelling of 20132211021120 in words is "twenty trillion, one hundred thirty-two billion, two hundred eleven million, twenty-one thousand, one hundred twenty".