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1110000000120 = 2335112631121151
BaseRepresentation
bin10000001001110001001…
…001111101110001111000
310221010002210211102000120
4100021301021331301320
5121141240000000440
62205532120133240
7143123556216564
oct20116111756170
93833083742016
101110000000120
11398826076100
1215b160907220
13808987957cb
143ba1d62a6a4
151dd1885ddd0
hex1027127dc78

1110000000120 has 192 divisors, whose sum is σ = 3666078904320. Its totient is φ = 268662240000.

The previous prime is 1110000000097. The next prime is 1110000000121. The reversal of 1110000000120 is 210000000111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1110000000099 and 1110000000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000000121) 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 47 ways as a sum of consecutive naturals, for example, 9101545 + ... + 9222695.

It is an arithmetic number, because the mean of its divisors is an integer number (19094160960).

Almost surely, 21110000000120 is an apocalyptic number.

1110000000120 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 1110000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833039452160).

1110000000120 is an abundant number, since it is smaller than the sum of its proper divisors (2556078904200).

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

1110000000120 is a wasteful number, since it uses less digits than its factorization.

1110000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121818 (or 121803 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1110000000120 its reverse (210000000111), we get a palindrome (1320000000231).

Subtracting from 1110000000120 its reverse (210000000111), we obtain a palindrome (900000000009).

The spelling of 1110000000120 in words is "one trillion, one hundred ten billion, one hundred twenty", and thus it is an aban number.