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20114122401 = 322234902489
BaseRepresentation
bin10010101110111001…
…010010011010100001
31220220210021021202100
4102232321102122201
5312143203404101
613123523241013
71311306135162
oct225671223241
956823237670
1020114122401
11859199695a
123a94219169
131b87224499
14d8b511769
157cacaee86
hex4aee526a1

20114122401 has 6 divisors (see below), whose sum is σ = 29053732370. Its totient is φ = 13409414928.

The previous prime is 20114122387. The next prime is 20114122417. The reversal of 20114122401 is 10422141102.

20114122401 is a `hidden beast` number, since 2 + 0 + 11 + 412 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19712160000 + 401962401 = 140400^2 + 20049^2 .

It is not a de Polignac number, because 20114122401 - 26 = 20114122337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20114122451) 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 5 ways as a sum of consecutive naturals, for example, 1117451236 + ... + 1117451253.

Almost surely, 220114122401 is an apocalyptic number.

It is an amenable number.

20114122401 is a deficient number, since it is larger than the sum of its proper divisors (8939609969).

20114122401 is a wasteful number, since it uses less digits than its factorization.

20114122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234902495 (or 2234902492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20114122401 its reverse (10422141102), we get a palindrome (30536263503).

The spelling of 20114122401 in words is "twenty billion, one hundred fourteen million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 2234902489 6704707467 20114122401