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1100110000020 = 2235411918112887
BaseRepresentation
bin10000000000100011101…
…010100110111110010100
310220011120120001100101120
4100000203222212332110
5121011011130000040
62201214503123540
7142323515466213
oct20004352467624
93804516040346
101100110000020
113946104626a9
121592607435b0
137c980810645
143b361d3d07a
151d93a47d7d0
hex10023aa6f94

1100110000020 has 192 divisors, whose sum is σ = 3176969306112. Its totient is φ = 284259456000.

The previous prime is 1100110000019. The next prime is 1100110000043. The reversal of 1100110000020 is 200000110011.

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 = 1100109999963 and 1100110000008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381055017 + ... + 381057903.

It is an arithmetic number, because the mean of its divisors is an integer number (16546715136).

Almost surely, 21100110000020 is an apocalyptic number.

1100110000020 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 1100110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588484653056).

1100110000020 is an abundant number, since it is smaller than the sum of its proper divisors (2076859306092).

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

1100110000020 is a wasteful number, since it uses less digits than its factorization.

1100110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3940 counting only the distinct ones).

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

Adding to 1100110000020 its reverse (200000110011), we get a palindrome (1300110110031).

The spelling of 1100110000020 in words is "one trillion, one hundred billion, one hundred ten million, twenty", and thus it is an aban number.