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110100011110001 = 11711011395773521
BaseRepresentation
bin11001000010001010101000…
…000011010100111001110001
3112102211110101002002120102022
4121002022220003110321301
5103412334310321010001
61030055125153001225
732122314625106663
oct3102125003247161
9472743332076368
10110100011110001
1132099174a74410
1210422152b53215
1349585041a0a63
141d28c24654533
15cade498e411b
hex6422a80d4e71

110100011110001 has 16 divisors (see below), whose sum is σ = 123006728946816. Its totient is φ = 97704146400000.

The previous prime is 110100011109967. The next prime is 110100011110007. The reversal of 110100011110001 is 100011110001011.

It is a cyclic number.

It is not a de Polignac number, because 110100011110001 - 226 = 110099944001137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100011110007) 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 15 ways as a sum of consecutive naturals, for example, 697807880 + ... + 697965641.

It is an arithmetic number, because the mean of its divisors is an integer number (7687920559176).

Almost surely, 2110100011110001 is an apocalyptic number.

110100011110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100011110001 is a deficient number, since it is larger than the sum of its proper divisors (12906717836815).

110100011110001 is a wasteful number, since it uses less digits than its factorization.

110100011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395773704.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110100011110001 its reverse (100011110001011), we get a palindrome (210111121111012).

The spelling of 110100011110001 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred ten thousand, one".

Divisors: 1 11 71 101 781 1111 7171 78881 1395773521 15353508731 99099919991 140973125621 1090099119901 1550704381831 10009091919091 110100011110001