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1043431101401 = 13219013324733
BaseRepresentation
bin11110010111100010101…
…01110001001111011001
310200202021111200222021012
433023301111301033121
5114043421330221101
62115202353423305
7135246124010633
oct17136125611731
93622244628235
101043431101401
11372575722227
1214a282b6ab35
137751a143300
1438706599a53
151c21e59abbb
hexf2f15713d9

1043431101401 has 12 divisors (see below), whose sum is σ = 1129932086508. Its totient is φ = 963113546304.

The previous prime is 1043431101313. The next prime is 1043431101409. The reversal of 1043431101401 is 1041011343401.

It can be written as a sum of positive squares in 6 ways, for example, as 633216471001 + 410214630400 = 795749^2 + 640480^2 .

It is not a de Polignac number, because 1043431101401 - 214 = 1043431085017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1043431101409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3050831 + ... + 3375563.

It is an arithmetic number, because the mean of its divisors is an integer number (94161007209).

Almost surely, 21043431101401 is an apocalyptic number.

It is an amenable number.

1043431101401 is a deficient number, since it is larger than the sum of its proper divisors (86500985107).

1043431101401 is a wasteful number, since it uses less digits than its factorization.

1043431101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343772 (or 343759 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1043431101401 its reverse (1041011343401), we get a palindrome (2084442444802).

The spelling of 1043431101401 in words is "one trillion, forty-three billion, four hundred thirty-one million, one hundred one thousand, four hundred one".

Divisors: 1 13 169 19013 247169 324733 3213197 4221529 54879877 6174148529 80263930877 1043431101401