Search a number
-
+
31302002230101 = 323794000006697
BaseRepresentation
bin1110001111000000100001…
…01110010100001101010101
311002211102221100121001001200
413013200100232110031111
513100323000032330401
6150323535153343113
76410331536631261
oct707402056241525
9132742840531050
1031302002230101
119a79117243369
123616655267a99
1314609c62b1b15
147a304c8110a1
153943848a2686
hex1c7810b94355

31302002230101 has 12 divisors (see below), whose sum is σ = 46436003308812. Its totient is φ = 20304001446336.

The previous prime is 31302002230073. The next prime is 31302002230117. The reversal of 31302002230101 is 10103220020313.

31302002230101 is a `hidden beast` number, since 3 + 130 + 200 + 2 + 230 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28954138619025 + 2347863611076 = 5380905^2 + 1532274^2 .

It is not a de Polignac number, because 31302002230101 - 238 = 31027124323157 is a prime.

It is a super-2 number, since 2×313020022301012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31302002230171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47000003016 + ... + 47000003681.

It is an arithmetic number, because the mean of its divisors is an integer number (3869666942401).

Almost surely, 231302002230101 is an apocalyptic number.

It is an amenable number.

31302002230101 is a deficient number, since it is larger than the sum of its proper divisors (15134001078711).

31302002230101 is a wasteful number, since it uses less digits than its factorization.

31302002230101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94000006740 (or 94000006737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31302002230101 its reverse (10103220020313), we get a palindrome (41405222250414).

The spelling of 31302002230101 in words is "thirty-one trillion, three hundred two billion, two million, two hundred thirty thousand, one hundred one".

Divisors: 1 3 9 37 111 333 94000006697 282000020091 846000060273 3478000247789 10434000743367 31302002230101