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1110101002011 = 322340975717321
BaseRepresentation
bin10000001001110111001…
…011010000011100011011
310221010100211212211120100
4100021313023100130123
5121141441324031021
62205550125030443
7143126223554001
oct20116713203433
93833324784510
101110101002011
11398878091341
1215b18a6b5423
13808b369a341
143ba2cbdca71
151dd22660626
hex102772d071b

1110101002011 has 48 divisors (see below), whose sum is σ = 1679599321920. Its totient is φ = 705186155520.

The previous prime is 1110101002009. The next prime is 1110101002027. The reversal of 1110101002011 is 1102001010111.

It is not a de Polignac number, because 1110101002011 - 21 = 1110101002009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110101001984 and 1110101002002.

It is not an unprimeable number, because it can be changed into a prime (1110101002061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64081231 + ... + 64098551.

It is an arithmetic number, because the mean of its divisors is an integer number (34991652540).

Almost surely, 21110101002011 is an apocalyptic number.

1110101002011 is a deficient number, since it is larger than the sum of its proper divisors (569498319909).

1110101002011 is a wasteful number, since it uses less digits than its factorization.

1110101002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110101002011 its reverse (1102001010111), we get a palindrome (2212102012122).

The spelling of 1110101002011 in words is "one trillion, one hundred ten billion, one hundred one million, two thousand, eleven".

Divisors: 1 3 9 23 69 207 409 757 1227 2271 3681 6813 9407 17321 17411 28221 51963 52233 84663 155889 156699 309613 398383 928839 1195149 2786517 3585447 7084289 7121099 13111997 21252867 21363297 39335991 63758601 64089891 118007973 162938647 301575931 488815941 904727793 1466447823 2714183379 5362806773 16088420319 48265260957 123344555779 370033667337 1110101002011