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100111101011 = 41103113209789
BaseRepresentation
bin101110100111100010…
…1100010110001010011
3100120101220200212011222
41131033011202301103
53120011420213021
6113553532155255
710142563214105
oct1351705426123
9316356625158
10100111101011
1139503119a19
121749b008b2b
13959583bc9c
144bb9b01575
15290dd836ab
hex174f162c53

100111101011 has 16 divisors (see below), whose sum is σ = 104465350080. Its totient is φ = 95864724480.

The previous prime is 100111101001. The next prime is 100111101031. The reversal of 100111101011 is 110101111001.

It is a cyclic number.

It is not a de Polignac number, because 100111101011 - 234 = 82931231827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111101011.

It is not an unprimeable number, because it can be changed into a prime (100111101001) 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 15 ways as a sum of consecutive naturals, for example, 372305 + ... + 582093.

It is an arithmetic number, because the mean of its divisors is an integer number (6529084380).

Almost surely, 2100111101011 is an apocalyptic number.

100111101011 is a deficient number, since it is larger than the sum of its proper divisors (4354249069).

100111101011 is a wasteful number, since it uses less digits than its factorization.

100111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210046.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111101011 its reverse (110101111001), we get a palindrome (210212212012).

It can be divided in two parts, 100 and 111101011, that added together give a palindrome (111101111).

The spelling of 100111101011 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, eleven".

Divisors: 1 41 103 113 4223 4633 11639 209789 477199 8601349 21608267 23706157 885938947 971952437 2441734171 100111101011