Search a number
-
+
12110012112101 = 173172247172409
BaseRepresentation
bin1011000000111001010011…
…1110000101110011100101
31120212201001120021102211212
42300032110332011303211
53041402301100041401
641431132431241205
72356630250360141
oct260162476056345
946781046242755
1012110012112101
113949911147a12
121437002679205
1369ac7a56a7c7
142dc1b0636221
1516002110bdbb
hexb0394f85ce5

12110012112101 has 8 divisors (see below), whose sum is σ = 12862814874840. Its totient is φ = 11361703694848.

The previous prime is 12110012112073. The next prime is 12110012112119. The reversal of 12110012112101 is 10121121001121.

12110012112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 141173032900 + 11968839079201 = 375730^2 + 3459601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12110012112101 - 226 = 12109945003237 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 (12110012112151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123580816 + ... + 1123591593.

It is an arithmetic number, because the mean of its divisors is an integer number (1607851859355).

Almost surely, 212110012112101 is an apocalyptic number.

It is an amenable number.

12110012112101 is a deficient number, since it is larger than the sum of its proper divisors (752802762739).

12110012112101 is a wasteful number, since it uses less digits than its factorization.

12110012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247172743.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12110012112101 its reverse (10121121001121), we get a palindrome (22231133113222).

The spelling of 12110012112101 in words is "twelve trillion, one hundred ten billion, twelve million, one hundred twelve thousand, one hundred one".

Divisors: 1 17 317 5389 2247172409 38201930953 712353653653 12110012112101