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10100110111 = 713293827249
BaseRepresentation
bin10010110100000001…
…10111001100011111
3222001220010202101021
421122000313030133
5131141112010421
64350120225011
7505201343110
oct113200671437
928056122337
1010100110111
114313281243
121b5a60b167
13c4c66c120
146bb582207
153e1a85341
hex25a03731f

10100110111 has 16 divisors (see below), whose sum is σ = 12859560000. Its totient is φ = 7715731968.

The previous prime is 10100110043. The next prime is 10100110123. The reversal of 10100110111 is 11101100101.

It is a happy number.

10100110111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100110111 - 231 = 7952626463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10100110094 and 10100110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110151) 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 15 ways as a sum of consecutive naturals, for example, 1910986 + ... + 1916263.

It is an arithmetic number, because the mean of its divisors is an integer number (803722500).

Almost surely, 210100110111 is an apocalyptic number.

10100110111 is a deficient number, since it is larger than the sum of its proper divisors (2759449889).

10100110111 is a wasteful number, since it uses less digits than its factorization.

10100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827298.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100110111 its reverse (11101100101), we get a palindrome (21201210212).

The spelling of 10100110111 in words is "ten billion, one hundred million, one hundred ten thousand, one hundred eleven".

Divisors: 1 7 13 29 91 203 377 2639 3827249 26790743 49754237 110990221 348279659 776931547 1442872873 10100110111