Search a number
-
+
31311132132101 = 47666194300683
BaseRepresentation
bin1110001111010001100001…
…11010001000001100000101
311002212022111122010010010012
413013220300322020030011
513101000144311211401
6150332045135040005
76411104020544333
oct707506072101405
9132768448103105
1031311132132101
119a81a81899918
123618382970005
13146181c9450b3
147a367719cb53
1539471b18d8bb
hex1c7a30e88305

31311132132101 has 4 divisors (see below), whose sum is σ = 31977326432832. Its totient is φ = 30644937831372.

The previous prime is 31311132132067. The next prime is 31311132132139. The reversal of 31311132132101 is 10123123111313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31311132132101 is a prime.

It is a super-2 number, since 2×313111321321012 (a number of 28 digits) contains 22 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 (31311132132151) 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 3 ways as a sum of consecutive naturals, for example, 333097150295 + ... + 333097150388.

It is an arithmetic number, because the mean of its divisors is an integer number (7994331608208).

Almost surely, 231311132132101 is an apocalyptic number.

It is an amenable number.

31311132132101 is a deficient number, since it is larger than the sum of its proper divisors (666194300731).

31311132132101 is an equidigital number, since it uses as much as digits as its factorization.

31311132132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666194300730.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 31311132132101 its reverse (10123123111313), we get a palindrome (41434255243414).

The spelling of 31311132132101 in words is "thirty-one trillion, three hundred eleven billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 47 666194300683 31311132132101