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312211001 = 1734135381
BaseRepresentation
bin10010100110111…
…111011000111001
3210202110221222102
4102212333120321
51114411223001
650551433145
710510515104
oct2246773071
9722427872
10312211001
11150264823
12886857b5
134c8b4b4b
142d67173b
151c621e6b
hex129bf639

312211001 has 8 divisors (see below), whose sum is σ = 330734664. Its totient is φ = 293704960.

The previous prime is 312210973. The next prime is 312211007. The reversal of 312211001 is 100112213.

It can be written as a sum of positive squares in 4 ways, for example, as 136913401 + 175297600 = 11701^2 + 13240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312211007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55331 + ... + 60711.

It is an arithmetic number, because the mean of its divisors is an integer number (41341833).

Almost surely, 2312211001 is an apocalyptic number.

It is an amenable number.

312211001 is a deficient number, since it is larger than the sum of its proper divisors (18523663).

312211001 is a wasteful number, since it uses less digits than its factorization.

312211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 312211001 is about 17669.4935128317. The cubic root of 312211001 is about 678.3951492356.

Adding to 312211001 its reverse (100112213), we get a palindrome (412323214).

The spelling of 312211001 in words is "three hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 17 3413 5381 58021 91477 18365353 312211001