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13531153405 = 5711127276739
BaseRepresentation
bin11001001101000010…
…10000001111111101
31021221000020210221211
430212201100033331
5210202433402110
610114403324421
7656212622560
oct144641201775
937830223854
1013531153405
115813a8a910
122757680711
131378443a63
149251104d7
15542dc098a
hex3268503fd

13531153405 has 32 divisors (see below), whose sum is σ = 20403486720. Its totient is φ = 8368557120.

The previous prime is 13531153403. The next prime is 13531153409. The reversal of 13531153405 is 50435113531.

13531153405 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 13531153405 - 21 = 13531153403 is a prime.

It is a super-2 number, since 2×135311534052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531153403) 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, 89475 + ... + 187264.

It is an arithmetic number, because the mean of its divisors is an integer number (637608960).

Almost surely, 213531153405 is an apocalyptic number.

It is an amenable number.

13531153405 is a deficient number, since it is larger than the sum of its proper divisors (6872333315).

13531153405 is a wasteful number, since it uses less digits than its factorization.

13531153405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276889.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 13531153405 its reverse (50435113531), we get a palindrome (63966266936).

The spelling of 13531153405 in words is "thirteen billion, five hundred thirty-one million, one hundred fifty-three thousand, four hundred five".

Divisors: 1 5 7 11 35 55 77 127 385 635 889 1397 4445 6985 9779 48895 276739 1383695 1937173 3044129 9685865 15220645 21308903 35145853 106544515 175729265 246020971 386604383 1230104855 1933021915 2706230681 13531153405