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313540311253 = 131091819711259
BaseRepresentation
bin1001001000000000111…
…01010111100011010101
31002222022011102002220111
410210000131113203111
520114112304430003
6400012145003021
731436551446421
oct4440035274325
91088264362814
10313540311253
11110a76371584
1250924023471
132374a12aac0
1411265557b81
15825128ce6d
hex49007578d5

313540311253 has 32 divisors (see below), whose sum is σ = 343264521600. Its totient is φ = 284662252800.

The previous prime is 313540311239. The next prime is 313540311263. The reversal of 313540311253 is 352113045313.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 313540311253 - 213 = 313540303061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313540311263) 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, 249038538 + ... + 249039796.

It is an arithmetic number, because the mean of its divisors is an integer number (10727016300).

Almost surely, 2313540311253 is an apocalyptic number.

It is an amenable number.

313540311253 is a deficient number, since it is larger than the sum of its proper divisors (29724210347).

313540311253 is a wasteful number, since it uses less digits than its factorization.

313540311253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 313540311253 its reverse (352113045313), we get a palindrome (665653356566).

The spelling of 313540311253 in words is "three hundred thirteen billion, five hundred forty million, three hundred eleven thousand, two hundred fifty-three".

Divisors: 1 13 109 181 971 1259 1417 2353 12623 16367 19729 105839 137231 175751 227879 256477 1222489 1375907 1784003 2284763 2962427 15892357 19156859 24838811 133251301 221270509 249039167 322904543 1732266913 2876516617 24118485481 313540311253