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10414210001 = 132437328721
BaseRepresentation
bin10011011001011110…
…00011101111010001
3222212210011200102112
421230233003233101
5132312014210001
64441220355105
7516034216166
oct115457035721
928783150375
1010414210001
114464606128
122027845a95
13c9c765950
1470b18606d
1540e42bcbb
hex26cbc3bd1

10414210001 has 8 divisors (see below), whose sum is σ = 11219939304. Its totient is φ = 9609143040.

The previous prime is 10414209991. The next prime is 10414210007. The reversal of 10414210001 is 10001241401.

It can be written as a sum of positive squares in 4 ways, for example, as 1507380625 + 8906829376 = 38825^2 + 94376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10414210001 - 218 = 10413947857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10414210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132680 + ... + 196041.

It is an arithmetic number, because the mean of its divisors is an integer number (1402492413).

Almost surely, 210414210001 is an apocalyptic number.

It is an amenable number.

10414210001 is a deficient number, since it is larger than the sum of its proper divisors (805729303).

10414210001 is a wasteful number, since it uses less digits than its factorization.

10414210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331171.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10414210001 its reverse (10001241401), we get a palindrome (20415451402).

The spelling of 10414210001 in words is "ten billion, four hundred fourteen million, two hundred ten thousand, one".

Divisors: 1 13 2437 31681 328721 4273373 801093077 10414210001