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312311201022 = 23217350622279
BaseRepresentation
bin1001000101101110011…
…00101011110011111110
31002212010111121211122100
410202313030223303332
520104103131413042
6355250200525530
731364235256602
oct4426714536376
91085114554570
10312311201022
111104a55928a7
12506404808a6
13235b25b3642
141118a20b502
1581cd40224c
hex48b732bcfe

312311201022 has 12 divisors (see below), whose sum is σ = 676674268920. Its totient is φ = 104103733668.

The previous prime is 312311200973. The next prime is 312311201077. The reversal of 312311201022 is 220102113213.

312311201022 is a `hidden beast` number, since 312 + 311 + 20 + 1 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17350622279 = 312311201022 / (3 + 1 + 2 + 3 + 1 + 1 + 2 + 0 + 1 + 0 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 312311200986 and 312311201004.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8675311122 + ... + 8675311157.

It is an arithmetic number, because the mean of its divisors is an integer number (56389522410).

Almost surely, 2312311201022 is an apocalyptic number.

312311201022 is an abundant number, since it is smaller than the sum of its proper divisors (364363067898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312311201022 is a wasteful number, since it uses less digits than its factorization.

312311201022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350622287 (or 17350622284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312311201022 its reverse (220102113213), we get a palindrome (532413314235).

The spelling of 312311201022 in words is "three hundred twelve billion, three hundred eleven million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 17350622279 34701244558 52051866837 104103733674 156155600511 312311201022