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113140220200020 = 2232513219474164917
BaseRepresentation
bin11001101110011010000010…
…101000101000010001010100
3112211121002200110212020221200
4121232122002220220101110
5104312142132332400040
61040343522152512500
732555053062021546
oct3156320250502124
9484532613766850
10113140220200020
113306055281a5a2
12108333ba9ab730
134b191001a0b00
141dd20317c5696
15d13084172630
hex66e682a28454

113140220200020 has 432 divisors, whose sum is σ = 399504265655040. Its totient is φ = 25822745754624.

The previous prime is 113140220199991. The next prime is 113140220200027. The reversal of 113140220200020 is 20002022041311.

It is a happy number.

113140220200020 is a `hidden beast` number, since 11 + 31 + 402 + 2 + 0 + 200 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113140220199966 and 113140220200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113140220200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25082602 + ... + 29247518.

It is an arithmetic number, because the mean of its divisors is an integer number (924778392720).

Almost surely, 2113140220200020 is an apocalyptic number.

113140220200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113140220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199752132827520).

113140220200020 is an abundant number, since it is smaller than the sum of its proper divisors (286364045455020).

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

113140220200020 is a wasteful number, since it uses less digits than its factorization.

113140220200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165024 (or 4165006 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113140220200020 its reverse (20002022041311), we get a palindrome (133142242241331).

The spelling of 113140220200020 in words is "one hundred thirteen trillion, one hundred forty billion, two hundred twenty million, two hundred thousand, twenty".