Search a number
-
+
31302218813 = 1713717377689
BaseRepresentation
bin11101001001110000…
…011111010000111101
32222210111122110202112
4131021300133100331
51003101332000223
622214031103405
72155461320105
oct351160372075
988714573675
1031302218813
1112303317328
126097071b65
132c4b0c8c88
14172d386205
15c33106778
hex749c1f43d

31302218813 has 16 divisors (see below), whose sum is σ = 33578861040. Its totient is φ = 29076443136.

The previous prime is 31302218809. The next prime is 31302218821. The reversal of 31302218813 is 31881220313.

It can be written as a sum of positive squares in 8 ways, for example, as 8089563364 + 23212655449 = 89942^2 + 152357^2 .

It is not a de Polignac number, because 31302218813 - 22 = 31302218809 is a prime.

It is a super-2 number, since 2×313022188132 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31302218813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31302218803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364073 + ... + 441761.

It is an arithmetic number, because the mean of its divisors is an integer number (2098678815).

Almost surely, 231302218813 is an apocalyptic number.

It is an amenable number.

31302218813 is a deficient number, since it is larger than the sum of its proper divisors (2276642227).

31302218813 is a wasteful number, since it uses less digits than its factorization.

31302218813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78016.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 31302218813 in words is "thirty-one billion, three hundred two million, two hundred eighteen thousand, eight hundred thirteen".

Divisors: 1 17 137 173 2329 2941 23701 77689 402917 1320713 10643393 13440197 180937681 228483349 1841306989 31302218813