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10011100011001 = 191312227135257
BaseRepresentation
bin1001000110101110010000…
…0011110101100111111001
31022110001101202212020100221
42101223210003311213321
52303010213100323001
633143011424500041
72052164251026355
oct221534403654771
938401352766327
1010011100011001
11320a757a70631
12115827517a621
135780729cb67b
1426877b3d4465
1512562968a1a1
hex91ae40f59f9

10011100011001 has 24 divisors (see below), whose sum is σ = 10665915668640. Its totient is φ = 9370270578240.

The previous prime is 10011100010981. The next prime is 10011100011007. The reversal of 10011100011001 is 10011000111001.

It is a happy number.

It is not a de Polignac number, because 10011100011001 - 29 = 10011100010489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011100011007) 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 23 ways as a sum of consecutive naturals, for example, 73947765 + ... + 74083021.

It is an arithmetic number, because the mean of its divisors is an integer number (444413152860).

Almost surely, 210011100011001 is an apocalyptic number.

It is an amenable number.

10011100011001 is a deficient number, since it is larger than the sum of its proper divisors (654815657639).

10011100011001 is a wasteful number, since it uses less digits than its factorization.

10011100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135765 (or 135634 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10011100011001 its reverse (10011000111001), we get a palindrome (20022100122002).

The spelling of 10011100011001 in words is "ten trillion, eleven billion, one hundred million, eleven thousand, one".

Divisors: 1 19 131 227 2489 4313 17161 29737 135257 326059 565003 2569883 3895547 17718667 30703339 74015393 336654673 583363441 2321145377 4022137409 44101762163 76420610771 526900000579 10011100011001