Search a number
-
+
4621106401 is a prime number
BaseRepresentation
bin1000100110111000…
…00111110011100001
3102221001102112020221
410103130013303201
533431000401101
62042314203041
7222341520262
oct42334076341
912831375227
104621106401
111a615486aa
12a8b723481
135884ca1b2
1431ba32969
151c0a61aa1
hex113707ce1

4621106401 has 2 divisors, whose sum is σ = 4621106402. Its totient is φ = 4621106400.

The previous prime is 4621106389. The next prime is 4621106417. The reversal of 4621106401 is 1046011264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4137062400 + 484044001 = 64320^2 + 22001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4621106401 - 211 = 4621104353 is a prime.

It is not a weakly prime, because it can be changed into another prime (4621106701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2310553200 + 2310553201.

It is an arithmetic number, because the mean of its divisors is an integer number (2310553201).

Almost surely, 24621106401 is an apocalyptic number.

It is an amenable number.

4621106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4621106401 is an equidigital number, since it uses as much as digits as its factorization.

4621106401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4621106401 is about 67978.7202071354. The cubic root of 4621106401 is about 1665.6432509319.

Adding to 4621106401 its reverse (1046011264), we get a palindrome (5667117665).

The spelling of 4621106401 in words is "four billion, six hundred twenty-one million, one hundred six thousand, four hundred one".