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312313200201 = 36428413169
BaseRepresentation
bin1001000101101110101…
…00010011111001001001
31002212010122101102000000
410202313110103321021
520104104134401301
6355250311433213
731364261254242
oct4426724237111
91085118342000
10312313200201
111104a6728912
1250641085809
13235b2b335a2
141118a5abcc9
1581cd699786
hex48b7513e49

312313200201 has 14 divisors (see below), whose sum is σ = 468255594810. Its totient is φ = 208208799648.

The previous prime is 312313200163. The next prime is 312313200281. The reversal of 312313200201 is 102002313213.

312313200201 is a `hidden beast` number, since 31 + 231 + 3 + 200 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 281626569225 + 30686630976 = 530685^2 + 175176^2 .

It is not a de Polignac number, because 312313200201 - 215 = 312313167433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312313200281) 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 13 ways as a sum of consecutive naturals, for example, 214205856 + ... + 214207313.

Almost surely, 2312313200201 is an apocalyptic number.

It is an amenable number.

312313200201 is a deficient number, since it is larger than the sum of its proper divisors (155942394609).

312313200201 is an frugal number, since it uses more digits than its factorization.

312313200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428413187 (or 428413172 counting only the distinct ones).

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

Adding to 312313200201 its reverse (102002313213), we get a palindrome (414315513414).

The spelling of 312313200201 in words is "three hundred twelve billion, three hundred thirteen million, two hundred thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 428413169 1285239507 3855718521 11567155563 34701466689 104104400067 312313200201