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10343411409 = 3131257102409
BaseRepresentation
bin10011010001000001…
…11110111011010001
3222200211221202000110
421220200332323101
5132140403131114
64430211111533
7514214355252
oct115040767321
928624852013
1010343411409
11442864a0a1
122007ba25a9
13c8aba77a6
147019d6b29
154080e4759
hex26883eed1

10343411409 has 16 divisors (see below), whose sum is σ = 13950699840. Its totient is φ = 6816276480.

The previous prime is 10343411327. The next prime is 10343411413. The reversal of 10343411409 is 90411434301.

10343411409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10343411409 - 233 = 1753476817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10343421409) 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 15 ways as a sum of consecutive naturals, for example, 49797 + ... + 152205.

It is an arithmetic number, because the mean of its divisors is an integer number (871918740).

Almost surely, 210343411409 is an apocalyptic number.

It is an amenable number.

10343411409 is a deficient number, since it is larger than the sum of its proper divisors (3607288431).

10343411409 is a wasteful number, since it uses less digits than its factorization.

10343411409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102800.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10343411409 in words is "ten billion, three hundred forty-three million, four hundred eleven thousand, four hundred nine".

Divisors: 1 3 131 257 393 771 33667 101001 102409 307227 13415579 26319113 40246737 78957339 3447803803 10343411409