Search a number
-
+
20413122413112 = 23351113196076367
BaseRepresentation
bin1001010010000110011001…
…11010010000001000111000
32200021110211121011112100000
410221003030322100020320
510133422033314204422
6111225354201113000
74204541126422032
oct451031472201070
980243747145300
1020413122413112
11656017a484650
122358249488760
13b50c45484160
14508001132c52
15255ed3811cac
hex1290cce90238

20413122413112 has 768 divisors, whose sum is σ = 71029466726400. Its totient is φ = 5399679905280.

The previous prime is 20413122413111. The next prime is 20413122413129. The reversal of 20413122413112 is 21131422131402.

20413122413112 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 122 + 413 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413122413111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3206078553 + ... + 3206084919.

It is an arithmetic number, because the mean of its divisors is an integer number (92486284800).

Almost surely, 220413122413112 is an apocalyptic number.

20413122413112 is a gapful number since it is divisible by the number (22) 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 20413122413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35514733363200).

20413122413112 is an abundant number, since it is smaller than the sum of its proper divisors (50616344313288).

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

20413122413112 is a wasteful number, since it uses less digits than its factorization.

20413122413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20413122413112 its reverse (21131422131402), we get a palindrome (41544544544514).

The spelling of 20413122413112 in words is "twenty trillion, four hundred thirteen billion, one hundred twenty-two million, four hundred thirteen thousand, one hundred twelve".