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10340132309 = 1317413793011
BaseRepresentation
bin10011010000101000…
…11110010111010101
3222200121210010221022
421220110132113111
5132134033213214
64430012530525
7514144450223
oct115024362725
928617703838
1010340132309
11442680a4a1
122006a80a45
13c8a2ca0b0
147013c1b13
15407b97d8e
hex26851e5d5

10340132309 has 32 divisors (see below), whose sum is σ = 12114023040. Its totient is φ = 8738150400.

The previous prime is 10340132293. The next prime is 10340132321. The reversal of 10340132309 is 90323104301.

It is a happy number.

10340132309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10340132309 - 24 = 10340132293 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 (10340132339) 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 31 ways as a sum of consecutive naturals, for example, 3432614 + ... + 3435624.

It is an arithmetic number, because the mean of its divisors is an integer number (378563220).

Almost surely, 210340132309 is an apocalyptic number.

It is an amenable number.

10340132309 is a deficient number, since it is larger than the sum of its proper divisors (1773890731).

10340132309 is a wasteful number, since it uses less digits than its factorization.

10340132309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 10340132309 in words is "ten billion, three hundred forty million, one hundred thirty-two thousand, three hundred nine".

Divisors: 1 13 17 41 221 379 533 697 3011 4927 6443 9061 15539 39143 51187 83759 123451 202007 264163 665431 1141169 1604863 2098667 3434119 14835197 19399873 27282671 46787929 252198349 608243077 795394793 10340132309