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10343441431 = 311797332543
BaseRepresentation
bin10011010001000010…
…00110010000010111
3222200212000021012101
421220201012100113
5132140410111211
64430211502531
7514214541631
oct115041062027
928625007171
1010343441431
11442866a704
122007bb7a47
13c8abb835b
14701a03a51
154080ed5c1
hex268846417

10343441431 has 16 divisors (see below), whose sum is σ = 10755624960. Its totient is φ = 9936372960.

The previous prime is 10343441417. The next prime is 10343441443. The reversal of 10343441431 is 13414434301.

It is a happy number.

It is not a de Polignac number, because 10343441431 - 25 = 10343441399 is a prime.

It is a super-2 number, since 2×103434414312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10343441431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343441231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4066146 + ... + 4068688.

It is an arithmetic number, because the mean of its divisors is an integer number (672226560).

Almost surely, 210343441431 is an apocalyptic number.

10343441431 is a deficient number, since it is larger than the sum of its proper divisors (412183529).

10343441431 is a wasteful number, since it uses less digits than its factorization.

10343441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10343441431 its reverse (13414434301), we get a palindrome (23757875732).

The spelling of 10343441431 in words is "ten billion, three hundred forty-three million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 31 179 733 2543 5549 22723 78833 131207 455197 1864019 4067417 14111107 57784589 333659401 10343441431