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2113231110120 = 233251317295411693
BaseRepresentation
bin11110110000000110011…
…000111011111111101000
321111000121201011020011100
4132300012120323333220
5234110344131010440
64254445512401400
7305450560026444
oct36600630737750
97430551136140
102113231110120
11745241962839
122a16849a6260
1312437a2a3150
14743d0c39824
1539e83abb230
hex1ec0663bfe8

2113231110120 has 768 divisors, whose sum is σ = 8121202689600. Its totient is φ = 471546593280.

The previous prime is 2113231110119. The next prime is 2113231110217. The reversal of 2113231110120 is 210111323112.

2113231110120 is a `hidden beast` number, since 211 + 323 + 1 + 1 + 10 + 120 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 98971901604 + 2014259208516 = 314598^2 + 1419246^2 .

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 = 2113231110093 and 2113231110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1248215994 + ... + 1248217686.

Almost surely, 22113231110120 is an apocalyptic number.

2113231110120 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 2113231110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060601344800).

2113231110120 is an abundant number, since it is smaller than the sum of its proper divisors (6007971579480).

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

2113231110120 is a wasteful number, since it uses less digits than its factorization.

2113231110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2113231110120 its reverse (210111323112), we get a palindrome (2323342433232).

The spelling of 2113231110120 in words is "two trillion, one hundred thirteen billion, two hundred thirty-one million, one hundred ten thousand, one hundred twenty".