Search a number
-
+
102316311 = 3319199447
BaseRepresentation
bin1100001100100…
…11100100010111
321010112012121000
412012103210113
5202143110221
614052554343
72351450166
oct606234427
9233465530
10102316311
1152833839
122a3229b3
1318274bc6
14d8353dd
158eb0e26
hex6193917

102316311 has 16 divisors (see below), whose sum is σ = 159558400. Its totient is φ = 64620504.

The previous prime is 102316283. The next prime is 102316327. The reversal of 102316311 is 113613201.

102316311 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 631 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102316311 is a prime.

It is a super-3 number, since 3×1023163113 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102316381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99211 + ... + 100236.

It is an arithmetic number, because the mean of its divisors is an integer number (9972400).

Almost surely, 2102316311 is an apocalyptic number.

102316311 is a deficient number, since it is larger than the sum of its proper divisors (57242089).

102316311 is a wasteful number, since it uses less digits than its factorization.

102316311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199475 (or 199469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102316311 is about 10115.1525445739. The cubic root of 102316311 is about 467.7153512310.

Adding to 102316311 its reverse (113613201), we get a palindrome (215929512).

The spelling of 102316311 in words is "one hundred two million, three hundred sixteen thousand, three hundred eleven".

Divisors: 1 3 9 19 27 57 171 513 199447 598341 1795023 3789493 5385069 11368479 34105437 102316311