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1101111000120 = 2332537362322817
BaseRepresentation
bin10000000001011111010…
…101000111110000111000
310220021011022121102101100
4100001133111013300320
5121020033404000440
62201502102051400
7142360362033645
oct20013725076070
93807138542340
101101111000120
11394a844a990a
1215949ba19b60
137cab000aab1
143b418c6adcc
151d9982ab230
hex1005f547c38

1101111000120 has 192 divisors, whose sum is σ = 3676505526720. Its totient is φ = 285602291712.

The previous prime is 1101111000109. The next prime is 1101111000131. The reversal of 1101111000120 is 210001111011.

It is an interprime number because it is at equal distance from previous prime (1101111000109) and next prime (1101111000131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48246952 + ... + 48269768.

It is an arithmetic number, because the mean of its divisors is an integer number (19148466285).

Almost surely, 21101111000120 is an apocalyptic number.

1101111000120 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 1101111000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838252763360).

1101111000120 is an abundant number, since it is smaller than the sum of its proper divisors (2575394526600).

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

1101111000120 is a wasteful number, since it uses less digits than its factorization.

1101111000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26494 (or 26487 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101111000120 its reverse (210001111011), we get a palindrome (1311112111131).

The spelling of 1101111000120 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.