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10414362117 = 321131642903
BaseRepresentation
bin10011011001011111…
…01000111000000101
3222212210110102002110
421230233220320011
5132312034041432
64441223531233
7516035421525
oct115457507005
928783412073
1010414362117
1144646aa445
1220278b9b19
13c9c7b9c63
1470b1c5685
1540e45bdcc
hex26cbe8e05

10414362117 has 8 divisors (see below), whose sum is σ = 13892396224. Its totient is φ = 6939618048.

The previous prime is 10414362107. The next prime is 10414362157. The reversal of 10414362117 is 71126341401.

10414362117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10414362117 - 220 = 10413313541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414362107) 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 7 ways as a sum of consecutive naturals, for example, 815113 + ... + 827790.

It is an arithmetic number, because the mean of its divisors is an integer number (1736549528).

Almost surely, 210414362117 is an apocalyptic number.

It is an amenable number.

10414362117 is a deficient number, since it is larger than the sum of its proper divisors (3478034107).

10414362117 is a wasteful number, since it uses less digits than its factorization.

10414362117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645019.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10414362117 in words is "ten billion, four hundred fourteen million, three hundred sixty-two thousand, one hundred seventeen".

Divisors: 1 3 2113 6339 1642903 4928709 3471454039 10414362117