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11105106111104 = 27731188474541
BaseRepresentation
bin1010000110011001101111…
…1001111010101010000000
31110022122012221100100012012
42201212123321322222000
52423421224131023404
635341340524152052
72224213611323165
oct241463371725200
943278187310165
1011105106111104
1135a1715987945
1212b42b1698628
1362728ca655c5
142a56c07da06c
15143d08d0aa6e
hexa199be7aa80

11105106111104 has 32 divisors (see below), whose sum is σ = 22426514607540. Its totient is φ = 5476490680320.

The previous prime is 11105106111103. The next prime is 11105106111107. The reversal of 11105106111104 is 40111160150111.

It can be written as a sum of positive squares in 2 ways, for example, as 10259721486400 + 845384624704 = 3203080^2 + 919448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11105106111104.

It is not an unprimeable number, because it can be changed into a prime (11105106111101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594227927 + ... + 594246614.

Almost surely, 211105106111104 is an apocalyptic number.

It is an amenable number.

11105106111104 is an abundant number, since it is smaller than the sum of its proper divisors (11321408496436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11105106111104 is an equidigital number, since it uses as much as digits as its factorization.

11105106111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188474628 (or 1188474616 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 23.

Adding to 11105106111104 its reverse (40111160150111), we get a palindrome (51216266261215).

The spelling of 11105106111104 in words is "eleven trillion, one hundred five billion, one hundred six million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 1188474541 2376949082 4753898164 9507796328 19015592656 38031185312 76062370624 86758641493 152124741248 173517282986 347034565972 694069131944 1388138263888 2776276527776 5552553055552 11105106111104