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110020110012120 = 233571140155753309
BaseRepresentation
bin11001000001000000001101…
…100100110100111011011000
3112102112211010122002020121210
4121001000031210310323120
5103410032141130341440
61025554312451103120
732113455614015520
oct3101001544647330
9472484118066553
10110020110012120
11320682a2979a20
121040a7742a1aa0
134950b0c6b6b09
141d25004aa2680
15cabd1ee5ea80
hex64100d934ed8

110020110012120 has 512 divisors, whose sum is σ = 413278362777600. Its totient is φ = 22762942464000.

The previous prime is 110020110012091. The next prime is 110020110012121. The reversal of 110020110012120 is 21210011020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110020110012096 and 110020110012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020110012121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2063792026 + ... + 2063845334.

It is an arithmetic number, because the mean of its divisors is an integer number (807184302300).

Almost surely, 2110020110012120 is an apocalyptic number.

110020110012120 is a gapful number since it is divisible by the number (10) 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 110020110012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206639181388800).

110020110012120 is an abundant number, since it is smaller than the sum of its proper divisors (303258252765480).

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

110020110012120 is a wasteful number, since it uses less digits than its factorization.

110020110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54299 (or 54295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110020110012120 its reverse (21210011020011), we get a palindrome (131230121032131).

The spelling of 110020110012120 in words is "one hundred ten trillion, twenty billion, one hundred ten million, twelve thousand, one hundred twenty".