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312300105 = 35132396701
BaseRepresentation
bin10010100111010…
…101001001001001
3210202122111012120
4102213111021021
51114422100410
650553401453
710511335635
oct2247251111
9722574176
10312300105
11150315767
1288709289
134c916580
142d695dc5
151c63d570
hex129d5249

312300105 has 32 divisors (see below), whose sum is σ = 540449280. Its totient is φ = 153081600.

The previous prime is 312300077. The next prime is 312300113. The reversal of 312300105 is 501003213.

It is a happy number.

It is not a de Polignac number, because 312300105 - 219 = 311775817 is a prime.

It is a super-2 number, since 2×3123001052 = 195062711166022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43255 + ... + 49955.

It is an arithmetic number, because the mean of its divisors is an integer number (16889040).

Almost surely, 2312300105 is an apocalyptic number.

It is an amenable number.

312300105 is a deficient number, since it is larger than the sum of its proper divisors (228149175).

312300105 is a wasteful number, since it uses less digits than its factorization.

312300105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 312300105 is about 17672.0147408268. The cubic root of 312300105 is about 678.4596803503.

Adding to 312300105 its reverse (501003213), we get a palindrome (813303318).

The spelling of 312300105 in words is "three hundred twelve million, three hundred thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 239 717 1195 3107 3585 6701 9321 15535 20103 33505 46605 87113 100515 261339 435565 1306695 1601539 4804617 8007695 20820007 24023085 62460021 104100035 312300105