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12201110021113 = 137921491009289
BaseRepresentation
bin1011000110001100101011…
…0101000010001111111001
31121012102012100001200222221
42301203022311002033321
53044400333131133423
641541040151444041
72366333611000456
oct261431265021771
947172170050887
1012201110021113
113984509585322
1214507a7086621
136a673798aa90
1430277328a82d
151625a3a59e5d
hexb18cad423f9

12201110021113 has 24 divisors (see below), whose sum is σ = 13397416389000. Its totient is φ = 11045357197056.

The previous prime is 12201110021101. The next prime is 12201110021143. The reversal of 12201110021113 is 31112001110221.

It is a happy number.

12201110021113 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 10097838144 + 12191012182969 = 100488^2 + 3491563^2 .

It is not a de Polignac number, because 12201110021113 - 25 = 12201110021081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201110021143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11584173 + ... + 12593461.

It is an arithmetic number, because the mean of its divisors is an integer number (558225682875).

Almost surely, 212201110021113 is an apocalyptic number.

12201110021113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12201110021113 is a deficient number, since it is larger than the sum of its proper divisors (1196306367887).

12201110021113 is a wasteful number, since it uses less digits than its factorization.

12201110021113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009609 (or 1009530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12201110021113 its reverse (31112001110221), we get a palindrome (43313111131334).

The spelling of 12201110021113 in words is "twelve trillion, two hundred one billion, one hundred ten million, twenty-one thousand, one hundred thirteen".

Divisors: 1 13 79 149 1027 1937 6241 11771 81133 153023 929909 1009289 12088817 13120757 79733831 150384061 1036539803 1954992793 6298972649 11880340819 81886644437 154444430647 938546924701 12201110021113