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10420541241 = 31119119313931
BaseRepresentation
bin10011011010001110…
…01101011100111001
3222220020002100020220
421231013031130321
5132320124304431
64442004210253
7516142065465
oct115507153471
928806070226
1010420541241
11446813a960
122029999989
13ca0b71646
1470bd534a5
1540ec7cb96
hex26d1cd739

10420541241 has 32 divisors (see below), whose sum is σ = 15969415680. Its totient is φ = 5977641600.

The previous prime is 10420541189. The next prime is 10420541273. The reversal of 10420541241 is 14214502401.

It is not a de Polignac number, because 10420541241 - 29 = 10420540729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420541041) 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 31 ways as a sum of consecutive naturals, for example, 741046 + ... + 754976.

It is an arithmetic number, because the mean of its divisors is an integer number (499044240).

Almost surely, 210420541241 is an apocalyptic number.

10420541241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420541241 is a deficient number, since it is larger than the sum of its proper divisors (5548874439).

10420541241 is a wasteful number, since it uses less digits than its factorization.

10420541241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157.

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 10420541241 in words is "ten billion, four hundred twenty million, five hundred forty-one thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 1193 3579 13123 13931 22667 39369 41793 68001 153241 249337 264689 459723 748011 794067 2911579 8734737 16619683 49859049 182816513 315773977 548449539 947321931 3473513747 10420541241