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312222210001 = 13171412770181
BaseRepresentation
bin1001000101100011110…
…01001101011111010001
31002211220022011121220121
410202301321031133101
520103412341210001
6355233301310241
731362104665552
oct4426171153721
91084808147817
10312222210001
1111045a3305a9
1250616705381
132359a025a30
141117c484329
1581c56c46a1
hex48b1e4d7d1

312222210001 has 8 divisors (see below), whose sum is σ = 356018085864. Its totient is φ = 271251874560.

The previous prime is 312222209993. The next prime is 312222210011. The reversal of 312222210001 is 100012222213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215062225 + 312007147776 = 14665^2 + 558576^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 312222210001 - 23 = 312222209993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312222210011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706384870 + ... + 706385311.

It is an arithmetic number, because the mean of its divisors is an integer number (44502260733).

Almost surely, 2312222210001 is an apocalyptic number.

It is an amenable number.

312222210001 is a deficient number, since it is larger than the sum of its proper divisors (43795875863).

312222210001 is a wasteful number, since it uses less digits than its factorization.

312222210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412770211.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 312222210001 its reverse (100012222213), we get a palindrome (412234432214).

The spelling of 312222210001 in words is "three hundred twelve billion, two hundred twenty-two million, two hundred ten thousand, one".

Divisors: 1 13 17 221 1412770181 18366012353 24017093077 312222210001