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101011111111001 = 7131724987770177
BaseRepresentation
bin10110111101111001111011…
…011001010110100101011001
3111020122120100000020212122102
4112331321323121112211121
5101214431223421023001
6554455510330533145
730163545332604020
oct2675717331264531
9436576300225572
10101011111111001
112a204631960233
12b3b47688971b5
1344493cb370080
141ad2d6cbad8b7
15ba27e6721e6b
hex5bde7b656959

101011111111001 has 48 divisors (see below), whose sum is σ = 132091220155776. Its totient is φ = 75204470145024.

The previous prime is 101011111110947. The next prime is 101011111111003. The reversal of 101011111111001 is 100111111110101.

It is a de Polignac number, because none of the positive numbers 2k-101011111111001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011111111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130768025 + ... + 131538201.

It is an arithmetic number, because the mean of its divisors is an integer number (2751900419912).

Almost surely, 2101011111111001 is an apocalyptic number.

It is an amenable number.

101011111111001 is a deficient number, since it is larger than the sum of its proper divisors (31080109044775).

101011111111001 is a wasteful number, since it uses less digits than its factorization.

101011111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775218 (or 775201 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101011111111001 its reverse (100111111110101), we get a palindrome (201122222221102).

The spelling of 101011111111001 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one".

Divisors: 1 7 13 17 91 119 221 289 1547 2023 3757 4987 26299 34909 64831 84779 453817 593453 770177 1102127 1441243 5391239 7714889 10012301 10088701 13093009 18736159 70086107 91651063 131153113 170209117 222581153 1191463819 1558068071 2893554989 3840872699 20254884923 26886108893 49931345087 65294835883 349519415609 457063851181 848832866479 1110012210011 5941830065353 7770085470077 14430158730143 101011111111001