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110001010011101 = 11731011379900091
BaseRepresentation
bin11001000000101110011011…
…001000000110101111011101
3112102110222211112001122212122
4121000232123020012233131
5103404224032030323401
61025541433311512325
732112211400464406
oct3100563310065735
9472428745048778
10110001010011101
1132060191481510
1210406b238286a5
13494c087605271
141d241121369ad
15cab5a322021b
hex640b9b206bdd

110001010011101 has 32 divisors (see below), whose sum is σ = 123746081152896. Its totient is φ = 96941681280000.

The previous prime is 110001010011029. The next prime is 110001010011181. The reversal of 110001010011101 is 101110010100011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110001010011101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001010011181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6161066 + ... + 16061156.

It is an arithmetic number, because the mean of its divisors is an integer number (3867065036028).

Almost surely, 2110001010011101 is an apocalyptic number.

110001010011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001010011101 is a deficient number, since it is larger than the sum of its proper divisors (13745071141795).

110001010011101 is a wasteful number, since it uses less digits than its factorization.

110001010011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900413.

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

Adding to 110001010011101 its reverse (101110010100011), we get a palindrome (211111020111112).

It can be divided in two parts, 1100010 and 10011101, that added together give a palindrome (11111111).

The spelling of 110001010011101 in words is "one hundred ten trillion, one billion, ten million, eleven thousand, one hundred one".

Divisors: 1 11 73 101 137 803 1111 1507 7373 10001 13837 81103 110011 152207 1010101 9900091 11111111 108901001 722706643 999909191 1356312467 7949773073 10999001101 14919437137 72993370943 99010810091 136987559167 802927080373 1089118911001 1506863150837 10000091819191 110001010011101