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2031120222120 = 233251111313134649
BaseRepresentation
bin11101100011101000001…
…100110000011110101000
321012011200021000221012100
4131203220030300132220
5231234213234101440
64153030031213400
7266513024012433
oct35435014603650
97164607027170
102031120222120
11713436461320
1228978a077260
131196c2a3a6a2
14704419bc81a
1537c7a134230
hex1d8e83307a8

2031120222120 has 384 divisors, whose sum is σ = 7320641328000. Its totient is φ = 484295884800.

The previous prime is 2031120222077. The next prime is 2031120222139. The reversal of 2031120222120 is 212220211302.

2031120222120 is a `hidden beast` number, since 203 + 1 + 120 + 222 + 120 = 666.

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 = 2031120222093 and 2031120222102.

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 95 ways as a sum of consecutive naturals, for example, 58602556 + ... + 58637204.

It is an arithmetic number, because the mean of its divisors is an integer number (19064170125).

Almost surely, 22031120222120 is an apocalyptic number.

2031120222120 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 2031120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660320664000).

2031120222120 is an abundant number, since it is smaller than the sum of its proper divisors (5289521105880).

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

2031120222120 is a wasteful number, since it uses less digits than its factorization.

2031120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34921 (or 34914 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2031120222120 its reverse (212220211302), we get a palindrome (2243340433422).

The spelling of 2031120222120 in words is "two trillion, thirty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".