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312500003125 = 55175882353
BaseRepresentation
bin1001000110000100111…
…00111010000100110101
31002212121122212222102211
410203002130322010311
520110000000100000
6355321023333421
731402020125212
oct4430234720465
91085548788384
10312500003125
111105921176a2
1250693751271
1323612749a6b
14111a7316b09
1581dec987ba
hex48c273a135

312500003125 has 24 divisors (see below), whose sum is σ = 413576545032. Its totient is φ = 235294080000.

The previous prime is 312500003113. The next prime is 312500003173. The reversal of 312500003125 is 521300005213.

It can be written as a sum of positive squares in 12 ways, for example, as 279013199089 + 33486804036 = 528217^2 + 182994^2 .

It is not a de Polignac number, because 312500003125 - 223 = 312491614517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312500003096 and 312500003105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2888052 + ... + 2994301.

It is an arithmetic number, because the mean of its divisors is an integer number (17232356043).

Almost surely, 2312500003125 is an apocalyptic number.

It is an amenable number.

312500003125 is a deficient number, since it is larger than the sum of its proper divisors (101076541907).

312500003125 is an frugal number, since it uses more digits than its factorization.

312500003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882395 (or 5882375 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 312500003125 its reverse (521300005213), we get a palindrome (833800008338).

It can be divided in two parts, 31250000 and 3125, that multiplied together give a square (97656250000 = 3125002).

The spelling of 312500003125 in words is "three hundred twelve billion, five hundred million, three thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 625 2125 3125 10625 53125 5882353 29411765 100000001 147058825 500000005 735294125 2500000025 3676470625 12500000125 18382353125 62500000625 312500003125