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1100120000111 = 111724711516397
BaseRepresentation
bin10000000000100100010…
…000110000011001101111
310220011121020212101221022
4100000210100300121233
5121011021210000421
62201215501324355
7142323666466046
oct20004420603157
93804536771838
101100120000111
11394616072940
12159263b666bb
137c982902262
143b3633c355d
151d93b2a67ab
hex1002443066f

1100120000111 has 48 divisors (see below), whose sum is σ = 1303339548672. Its totient is φ = 920307648000.

The previous prime is 1100120000087. The next prime is 1100120000117. The reversal of 1100120000111 is 1110000210011.

It is a happy number.

It is not a de Polignac number, because 1100120000111 - 210 = 1100119999087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100120000117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171971165 + ... + 171977561.

It is an arithmetic number, because the mean of its divisors is an integer number (27152907264).

Almost surely, 21100120000111 is an apocalyptic number.

1100120000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100120000111 is a deficient number, since it is larger than the sum of its proper divisors (203219548561).

1100120000111 is a wasteful number, since it uses less digits than its factorization.

1100120000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100120000111 its reverse (1110000210011), we get a palindrome (2210120210122).

The spelling of 1100120000111 in words is "one trillion, one hundred billion, one hundred twenty million, one hundred eleven", and thus it is an aban number.

Divisors: 1 11 17 47 187 289 517 799 1151 3179 6397 8789 12661 13583 19567 54097 70367 108749 149413 215237 300659 332639 595067 919649 1196239 1848733 3307249 3659029 5111203 7362947 10116139 15634033 20336063 56223233 80992417 86890451 125170099 171974363 346058509 955794961 1376871089 2127891683 3806643599 5882994653 23406808513 64712941183 100010909101 1100120000111