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312441002225 = 52111959797321
BaseRepresentation
bin1001000101111101110…
…11110101100011110001
31002212110112212102102022
410202332323311203301
520104334344032400
6355311115001225
731400402462012
oct4427673654361
91085415772368
10312441002225
11110561889420
1250677a39215
132360345c7a1
141119d559009
1581d99e1b85
hex48beef58f1

312441002225 has 24 divisors (see below), whose sum is σ = 444892075680. Its totient is φ = 215270352000.

The previous prime is 312441002191. The next prime is 312441002231. The reversal of 312441002225 is 522200144213.

It is not a de Polignac number, because 312441002225 - 220 = 312439953649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312441002194 and 312441002203.

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 23 ways as a sum of consecutive naturals, for example, 29893436 + ... + 29903885.

It is an arithmetic number, because the mean of its divisors is an integer number (18537169820).

Almost surely, 2312441002225 is an apocalyptic number.

It is an amenable number.

312441002225 is a deficient number, since it is larger than the sum of its proper divisors (132451073455).

312441002225 is a wasteful number, since it uses less digits than its factorization.

312441002225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59797361 (or 59797356 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 312441002225 its reverse (522200144213), we get a palindrome (834641146438).

The spelling of 312441002225 in words is "three hundred twelve billion, four hundred forty-one million, two thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 209 275 475 1045 5225 59797321 298986605 657770531 1136149099 1494933025 3288852655 5680745495 12497640089 16444263275 28403727475 62488200445 312441002225