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4100210001 = 32455578889
BaseRepresentation
bin1111010001100100…
…0011110101010001
3101120202021020201200
43310121003311101
531344123210001
61514505421413
7203415132006
oct36431036521
911522236650
104100210001
111814509508
1296519a869
13504609984
142ac79b8ad
1518ee6c086
hexf4643d51

4100210001 has 6 divisors (see below), whose sum is σ = 5922525570. Its totient is φ = 2733473328.

The previous prime is 4100209999. The next prime is 4100210011. The reversal of 4100210001 is 1000120014.

It is a happy number.

4100210001 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 only one way, i.e., 2889170001 + 1211040000 = 53751^2 + 34800^2 .

It is not a de Polignac number, because 4100210001 - 21 = 4100209999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 455578889 = 4100210001 / (4 + 1 + 0 + 0 + 2 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (4100210011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227789436 + ... + 227789453.

It is an arithmetic number, because the mean of its divisors is an integer number (987087595).

Almost surely, 24100210001 is an apocalyptic number.

It is an amenable number.

4100210001 is a deficient number, since it is larger than the sum of its proper divisors (1822315569).

4100210001 is a wasteful number, since it uses less digits than its factorization.

4100210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455578895 (or 455578892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4100210001 is about 64032.8821856396. The cubic root of 4100210001 is about 1600.5479895093.

Adding to 4100210001 its reverse (1000120014), we get a palindrome (5100330015).

The spelling of 4100210001 in words is "four billion, one hundred million, two hundred ten thousand, one".

Divisors: 1 3 9 455578889 1366736667 4100210001