Search a number
-
+
315142241513 = 111012693105331
BaseRepresentation
bin1001001010111111111…
…00001111110011101001
31010010102210201121002212
410211133330033303221
520130402403212023
6400435131534505
731524342566141
oct4453774176351
91103383647085
10315142241513
11111718641490
12510b05ba435
1323943c8b328
14113781d1921
1582e6c1de78
hex495ff0fce9

315142241513 has 16 divisors (see below), whose sum is σ = 347327635392. Its totient is φ = 283548360000.

The previous prime is 315142241509. The next prime is 315142241543.

315142241513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 315142241513 - 22 = 315142241509 is a prime.

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 315142241513.

It is not an unprimeable number, because it can be changed into a prime (315142241503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939258 + ... + 3044588.

It is an arithmetic number, because the mean of its divisors is an integer number (21707977212).

Almost surely, 2315142241513 is an apocalyptic number.

It is an amenable number.

315142241513 is a deficient number, since it is larger than the sum of its proper divisors (32185393879).

315142241513 is a wasteful number, since it uses less digits than its factorization.

315142241513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108136.

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 315142 and 241513, that added together give a palindrome (556655).

The spelling of 315142241513 in words is "three hundred fifteen billion, one hundred forty-two million, two hundred forty-one thousand, five hundred thirteen".

Divisors: 1 11 101 1111 2693 29623 105331 271993 1158641 2991923 10638431 117022741 283656383 3120220213 28649294683 315142241513