Search a number
-
+
312310200031 = 1947349731467
BaseRepresentation
bin1001000101101110010…
…00110111011011011111
31002212010102201222112121
410202313020313123133
520104102402400111
6355250123243411
731364223620344
oct4426710673337
91085112658477
10312310200031
111104a4a69835
1250640079567
13235b2322b3b
141118a02a7cb
1581cd2a5871
hex48b72376df

312310200031 has 8 divisors (see below), whose sum is σ = 335742209280. Its totient is φ = 289577653848.

The previous prime is 312310199987. The next prime is 312310200061. The reversal of 312310200031 is 130002013213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312310200031 - 215 = 312310167263 is a prime.

It is a super-2 number, since 2×3123102000312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312310199978 and 312310200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312310200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174864841 + ... + 174866626.

It is an arithmetic number, because the mean of its divisors is an integer number (41967776160).

Almost surely, 2312310200031 is an apocalyptic number.

312310200031 is a deficient number, since it is larger than the sum of its proper divisors (23432009249).

312310200031 is a wasteful number, since it uses less digits than its factorization.

312310200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349731533.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312310200031 its reverse (130002013213), we get a palindrome (442312213244).

The spelling of 312310200031 in words is "three hundred twelve billion, three hundred ten million, two hundred thousand, thirty-one".

Divisors: 1 19 47 893 349731467 6644897873 16437378949 312310200031