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312220331321 = 31372161125963
BaseRepresentation
bin1001000101100011100…
…10000010110100111001
31002211220011122011211212
410202301302002310321
520103411401100241
6355233153132505
731362053012423
oct4426162026471
91084804564755
10312220331321
11110459268078
1250615b5a135
13235998188a2
141117c115813
1581c5452beb
hex48b1c82d39

312220331321 has 16 divisors (see below), whose sum is σ = 331158348288. Its totient is φ = 293844153600.

The previous prime is 312220331279. The next prime is 312220331333. The reversal of 312220331321 is 123133022213.

It is a cyclic number.

It is not a de Polignac number, because 312220331321 - 26 = 312220331257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312220337321) 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 15 ways as a sum of consecutive naturals, for example, 2415686 + ... + 2541648.

It is an arithmetic number, because the mean of its divisors is an integer number (20697396768).

Almost surely, 2312220331321 is an apocalyptic number.

312220331321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312220331321 is a deficient number, since it is larger than the sum of its proper divisors (18938016967).

312220331321 is a wasteful number, since it uses less digits than its factorization.

312220331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128192.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312220331321 its reverse (123133022213), we get a palindrome (435353353534).

The spelling of 312220331321 in words is "three hundred twelve billion, two hundred twenty million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 31 37 1147 2161 66991 79957 125963 2478667 3904853 4660631 144479561 272206043 8438387333 10071623591 312220331321