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312452101 = 1323974657
BaseRepresentation
bin10010100111111…
…010010000000101
3210202221012201001
4102213322100011
51114441431401
651000533301
710512541033
oct2247722005
9722835631
10312452101
11150409985
1288781231
134c96a800
142d6d5553
151c66d601
hex129fa405

312452101 has 12 divisors (see below), whose sum is σ = 339260772. Its totient is φ = 287629056.

The previous prime is 312452081. The next prime is 312452111. The reversal of 312452101 is 101254213.

It can be written as a sum of positive squares in 6 ways, for example, as 76983076 + 235469025 = 8774^2 + 15345^2 .

It is not a de Polignac number, because 312452101 - 223 = 304063493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312452111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64765 + ... + 69421.

It is an arithmetic number, because the mean of its divisors is an integer number (28271731).

Almost surely, 2312452101 is an apocalyptic number.

It is an amenable number.

312452101 is a deficient number, since it is larger than the sum of its proper divisors (26808671).

312452101 is a wasteful number, since it uses less digits than its factorization.

312452101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 312452101 is about 17676.3146894368. The cubic root of 312452101 is about 678.5697309400.

It can be divided in two parts, 3124 and 52101, that added together give a square (55225 = 2352).

The spelling of 312452101 in words is "three hundred twelve million, four hundred fifty-two thousand, one hundred one".

Divisors: 1 13 169 397 4657 5161 60541 67093 787033 1848829 24034777 312452101