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312031320101 = 9730371059209
BaseRepresentation
bin1001000101001101000…
…01000001100000100101
31002211101222222102012022
410202212201001200211
520103020004220401
6355202322032525
731354266313334
oct4424641014045
91084358872168
10312031320101
11110371600156
12505827a8745
132356960b227
1411160d93d1b
1581b3a6971b
hex48a6841825

312031320101 has 8 divisors (see below), whose sum is σ = 315352238040. Its totient is φ = 308712526848.

The previous prime is 312031320071. The next prime is 312031320113. The reversal of 312031320101 is 101023130213.

It can be written as a sum of positive squares in 4 ways, for example, as 72900540001 + 239130780100 = 270001^2 + 489010^2 .

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 312031320101 - 26 = 312031320037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312031320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031320301) 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 7 ways as a sum of consecutive naturals, for example, 235016 + ... + 824193.

It is an arithmetic number, because the mean of its divisors is an integer number (39419029755).

Almost surely, 2312031320101 is an apocalyptic number.

It is an amenable number.

312031320101 is a deficient number, since it is larger than the sum of its proper divisors (3320917939).

312031320101 is a wasteful number, since it uses less digits than its factorization.

312031320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062343.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312031320101 its reverse (101023130213), we get a palindrome (413054450314).

The spelling of 312031320101 in words is "three hundred twelve billion, thirty-one million, three hundred twenty thousand, one hundred one".

Divisors: 1 97 3037 294589 1059209 102743273 3216817733 312031320101