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101101110111001 = 721113487157118859
BaseRepresentation
bin10110111111001101101111…
…110000010010101100011001
3111020222011122012020210000201
4112333031233300102230121
5101222420033142023001
6555005113033502201
730203212520514100
oct2677155760225431
9436864565223021
10101101110111001
112a239815a58a80
12b40a0a5271961
134454a41c02120
141ad74698cb037
15ba4d12952501
hex5bf36fc12b19

101101110111001 has 96 divisors (see below), whose sum is σ = 138547339176960. Its totient is φ = 72520717046400.

The previous prime is 101101110110951. The next prime is 101101110111017. The reversal of 101101110111001 is 100111011101101.

It is a happy number.

It is not a de Polignac number, because 101101110111001 - 29 = 101101110110489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101110111041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5360885110 + ... + 5360903968.

It is an arithmetic number, because the mean of its divisors is an integer number (1443201449760).

Almost surely, 2101101110111001 is an apocalyptic number.

101101110111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101110111001 is a deficient number, since it is larger than the sum of its proper divisors (37446229065959).

101101110111001 is a wasteful number, since it uses less digits than its factorization.

101101110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20955 (or 20948 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101110111001 its reverse (100111011101101), we get a palindrome (201212121212102).

It can be divided in two parts, 10 and 1101110111001, that added together give a palindrome (1101110111011).

The spelling of 101101110111001 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one".

Divisors: 1 7 11 13 49 77 91 143 487 539 637 1001 1571 3409 5357 6331 7007 10997 17281 18859 20423 23863 37499 44317 69641 76979 120967 132013 142961 207449 224653 245167 262493 310219 487487 765077 846769 924091 1000727 1452143 1572571 1716169 2696837 3412409 5355539 8415847 9184333 9946001 10165001 11007997 12013183 18877859 29627489 37488773 58910929 64290331 69622007 101027663 109406011 119396329 132145013 207392423 325902379 385157357 412376503 450032317 487354049 707193641 765842077 835774303 1313359619 1451746961 2281316653 2696101499 4236730927 4950355487 5360894539 5850420121 9193517333 14428587143 15969216571 18872710493 29657116489 64354621331 101000110001 158714458573 187571632859 207599815423 707000770007 1111001210011 1313001430013 2063287961449 7777008470077 9191010010091 14443015730143 101101110111001