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312211310401 = 1283351769191
BaseRepresentation
bin1001000101100010011…
…11101000011101000001
31002211212112122212110201
410202301033220131001
520103402043413101
6355232231525201
731361613231364
oct4426117503501
91084775585421
10312211310401
11110454166571
1250612b29801
13235979aa873
141117ac480db
1581c476ee01
hex48b13e8741

312211310401 has 8 divisors (see below), whose sum is σ = 312548013504. Its totient is φ = 311874755280.

The previous prime is 312211310371. The next prime is 312211310429. The reversal of 312211310401 is 104013112213.

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-312211310401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312211319401) 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, 4477716 + ... + 4546906.

It is an arithmetic number, because the mean of its divisors is an integer number (39068501688).

Almost surely, 2312211310401 is an apocalyptic number.

It is an amenable number.

312211310401 is a deficient number, since it is larger than the sum of its proper divisors (336703103).

312211310401 is a wasteful number, since it uses less digits than its factorization.

312211310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73991.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312211310401 its reverse (104013112213), we get a palindrome (416224422614).

The spelling of 312211310401 in words is "three hundred twelve billion, two hundred eleven million, three hundred ten thousand, four hundred one".

Divisors: 1 1283 3517 69191 4512311 88772053 243344747 312211310401