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10414003921 is a prime number
BaseRepresentation
bin10011011001011100…
…10001011011010001
3222212202210012201221
421230232101123101
5132311441111141
64441212125041
7516032400316
oct115456213321
928782705657
1010414003921
114464485312
122027766781
13c9c6c2bc9
1470b130d0d
1540e3dabd1
hex26cb916d1

10414003921 has 2 divisors, whose sum is σ = 10414003922. Its totient is φ = 10414003920.

The previous prime is 10414003913. The next prime is 10414003927. The reversal of 10414003921 is 12930041401.

It is a happy number.

10414003921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9363271696 + 1050732225 = 96764^2 + 32415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414003921 - 23 = 10414003913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414003927) 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 as a sum of consecutive naturals, namely, 5207001960 + 5207001961.

It is an arithmetic number, because the mean of its divisors is an integer number (5207001961).

Almost surely, 210414003921 is an apocalyptic number.

It is an amenable number.

10414003921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414003921 is an equidigital number, since it uses as much as digits as its factorization.

10414003921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10414003921 in words is "ten billion, four hundred fourteen million, three thousand, nine hundred twenty-one".