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312032002013 = 833759421711
BaseRepresentation
bin1001000101001101000…
…11100111111111011101
31002211102001021001121022
410202212203213333131
520103020143031023
6355202344413525
731354305153404
oct4424643477735
91084361231538
10312032002013
11110371a26516
1250582a772a5
13235697b9724
14111610d063b
1581b3b517c8
hex48a68e7fdd

312032002013 has 4 divisors (see below), whose sum is σ = 315791423808. Its totient is φ = 308272580220.

The previous prime is 312032001991. The next prime is 312032002019. The reversal of 312032002013 is 310200230213.

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, and also an emirpimes, since its reverse is a distinct semiprime: 310200230213 = 2313486966531.

It is a cyclic number.

It is not a de Polignac number, because 312032002013 - 222 = 312027807709 is a prime.

It is a super-3 number, since 3×3120320020133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312032001982 and 312032002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312032002019) 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 3 ways as a sum of consecutive naturals, for example, 1879710773 + ... + 1879710938.

It is an arithmetic number, because the mean of its divisors is an integer number (78947855952).

Almost surely, 2312032002013 is an apocalyptic number.

It is an amenable number.

312032002013 is a deficient number, since it is larger than the sum of its proper divisors (3759421795).

312032002013 is an equidigital number, since it uses as much as digits as its factorization.

312032002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759421794.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 312032002013 its reverse (310200230213), we get a palindrome (622232232226).

The spelling of 312032002013 in words is "three hundred twelve billion, thirty-two million, two thousand, thirteen".

Divisors: 1 83 3759421711 312032002013