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100112111011 = 1129210821761
BaseRepresentation
bin101110100111100100…
…1011001010110100011
3100120101222121011122101
41131033021121112203
53120012200023021
6113554005551231
710142604621523
oct1351711312643
9316358534571
10100112111011
1139503749830
121749b415517
139595b03913
144bb9cc5683
15290ded2a91
hex174f2595a3

100112111011 has 12 divisors (see below), whose sum is σ = 113109056424. Its totient is φ = 87872691200.

The previous prime is 100112111009. The next prime is 100112111051. The reversal of 100112111011 is 110111211001.

It is not a de Polignac number, because 100112111011 - 21 = 100112111009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112111051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401630 + ... + 5420131.

It is an arithmetic number, because the mean of its divisors is an integer number (9425754702).

Almost surely, 2100112111011 is an apocalyptic number.

100112111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112111011 is a deficient number, since it is larger than the sum of its proper divisors (12996945413).

100112111011 is a wasteful number, since it uses less digits than its factorization.

100112111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10821830 (or 10821801 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100112111011 its reverse (110111211001), we get a palindrome (210223322012).

The spelling of 100112111011 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, eleven".

Divisors: 1 11 29 319 841 9251 10821761 119039371 313831069 3452141759 9101101001 100112111011