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1101220221101 = 7111367127129289
BaseRepresentation
bin10000000001100101110…
…101110001000010101101
310220021102221010102101212
4100001211311301002231
5121020244334033401
62201521003044205
7142363156302320
oct20014565610255
93807387112355
101101220221101
11395030119190
12159510510665
137cac982c6b0
143b42957c7b7
151d9a2b82dbb
hex10065d710ad

1101220221101 has 64 divisors (see below), whose sum is σ = 1512457175040. Its totient is φ = 774114485760.

The previous prime is 1101220221061. The next prime is 1101220221107. The reversal of 1101220221101 is 1011220221011.

It is a de Polignac number, because none of the positive numbers 2k-1101220221101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101220221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8452865 + ... + 8582153.

It is an arithmetic number, because the mean of its divisors is an integer number (23632143360).

Almost surely, 21101220221101 is an apocalyptic number.

1101220221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101220221101 is a deficient number, since it is larger than the sum of its proper divisors (411236953939).

1101220221101 is a wasteful number, since it uses less digits than its factorization.

1101220221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129514.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1101220221101 its reverse (1011220221011), we get a palindrome (2112440442112).

The spelling of 1101220221101 in words is "one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 7 11 13 67 77 91 127 143 469 737 871 889 1001 1397 1651 5159 6097 8509 9581 9779 11557 18161 59563 67067 93599 110617 127127 129289 655193 774319 905023 1216787 1422179 1680757 8517509 8662363 9955253 11765299 16419703 18488327 60636541 95285993 112610719 114937921 129418289 180616733 213456139 667001951 788275033 1100120101 1238717909 1264317131 1494192973 2348017529 7700840707 8671025363 12101321111 14301561313 16436122703 84709247777 100110929191 157317174443 1101220221101