Search a number
-
+
312000022321 = 13122919528073
BaseRepresentation
bin1001000101001001010…
…01101000011100110001
31002211022211002022201021
410202210221220130301
520102434001203241
6355155243135441
731353436301221
oct4424451503461
91084284068637
10312000022321
11110355973719
1250574214581
1323562ca0630
141115ab68081
1581b0e360d1
hex48a4a68731

312000022321 has 8 divisors (see below), whose sum is σ = 336273434280. Its totient is φ = 287765668992.

The previous prime is 312000022277. The next prime is 312000022337. The reversal of 312000022321 is 123220000213.

It can be written as a sum of positive squares in 4 ways, for example, as 162763833600 + 149236188721 = 403440^2 + 386311^2 .

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-312000022321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312000022295 and 312000022304.

It is not an unprimeable number, because it can be changed into a prime (312000022351) 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, 9748060 + ... + 9780013.

It is an arithmetic number, because the mean of its divisors is an integer number (42034179285).

Almost surely, 2312000022321 is an apocalyptic number.

It is an amenable number.

312000022321 is a deficient number, since it is larger than the sum of its proper divisors (24273411959).

312000022321 is a wasteful number, since it uses less digits than its factorization.

312000022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19529315.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312000022321 its reverse (123220000213), we get a palindrome (435220022534).

The spelling of 312000022321 in words is "three hundred twelve billion, twenty-two thousand, three hundred twenty-one".

Divisors: 1 13 1229 15977 19528073 253864949 24000001717 312000022321