Search a number
-
+
12106510857947 = 1154116691218913
BaseRepresentation
bin1011000000101100010001…
…0001110111011011011011
31120212101000120001022002002
42300023010101313123123
53041323113234423242
641425353155231215
72356444424245112
oct260130421673333
946771016038062
1012106510857947
113948384843940
1214363a5ba850b
1369a84008239c
142dbd5b62cc79
1515edb8a53432
hexb02c44776db

12106510857947 has 16 divisors (see below), whose sum is σ = 13239453815520. Its totient is φ = 10978984166400.

The previous prime is 12106510857907. The next prime is 12106510857949. The reversal of 12106510857947 is 74975801560121.

12106510857947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12106510857947 - 28 = 12106510857691 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12106510857892 and 12106510857901.

It is not an unprimeable number, because it can be changed into a prime (12106510857949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322763 + ... + 10541675.

It is an arithmetic number, because the mean of its divisors is an integer number (827465863470).

Almost surely, 212106510857947 is an apocalyptic number.

12106510857947 is a deficient number, since it is larger than the sum of its proper divisors (1132942957573).

12106510857947 is a wasteful number, since it uses less digits than its factorization.

12106510857947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221134.

The product of its (nonzero) digits is 4233600, while the sum is 56.

The spelling of 12106510857947 in words is "twelve trillion, one hundred six billion, five hundred ten million, eight hundred fifty-seven thousand, nine hundred forty-seven".

Divisors: 1 11 541 1669 5951 18359 902929 1218913 9932219 13408043 659431933 2034365797 7253751263 22378023767 1100591896177 12106510857947