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13531145145 = 357128868049
BaseRepresentation
bin11001001101000010…
…01110001110111001
31021221000020101121220
430212201032032321
5210202433121040
610114403222253
7656212556520
oct144641161671
937830211556
1013531145145
115813a84691
122757677989
13137844007b
1492510b4b7
15542dbd2d0
hex32684e3b9

13531145145 has 16 divisors (see below), whose sum is σ = 24742665600. Its totient is φ = 6185666304.

The previous prime is 13531145141. The next prime is 13531145149. The reversal of 13531145145 is 54154113531.

It is a happy number.

13531145145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13531145141) and next prime (13531145149).

It is not a de Polignac number, because 13531145145 - 22 = 13531145141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13531145141) 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, 64433920 + ... + 64434129.

It is an arithmetic number, because the mean of its divisors is an integer number (1546416600).

Almost surely, 213531145145 is an apocalyptic number.

13531145145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13531145145 is a deficient number, since it is larger than the sum of its proper divisors (11211520455).

13531145145 is a wasteful number, since it uses less digits than its factorization.

13531145145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128868064.

The product of its digits is 18000, while the sum is 33.

Adding to 13531145145 its reverse (54154113531), we get a palindrome (67685258676).

The spelling of 13531145145 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 128868049 386604147 644340245 902076343 1933020735 2706229029 4510381715 13531145145