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312141401 = 11213198437
BaseRepresentation
bin10010100110101…
…110011001011001
3210202100102111122
4102212232121121
51114402011101
650550135025
710510105145
oct2246563131
9722312448
10312141401
11150217500
1288651475
134c88c270
142d654225
151c60b51b
hex129ae659

312141401 has 12 divisors (see below), whose sum is σ = 369491556. Its totient is φ = 261935520.

The previous prime is 312141391. The next prime is 312141461. The reversal of 312141401 is 104141213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80371225 + 231770176 = 8965^2 + 15224^2 .

It is not a de Polignac number, because 312141401 - 210 = 312140377 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 312141401.

It is not an unprimeable number, because it can be changed into a prime (312141461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97646 + ... + 100791.

It is an arithmetic number, because the mean of its divisors is an integer number (30790963).

Almost surely, 2312141401 is an apocalyptic number.

It is an amenable number.

312141401 is a deficient number, since it is larger than the sum of its proper divisors (57350155).

312141401 is a wasteful number, since it uses less digits than its factorization.

312141401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198472 (or 198461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 312141401 is about 17667.5239068750. The cubic root of 312141401 is about 678.3447348136.

Adding to 312141401 its reverse (104141213), we get a palindrome (416282614).

The spelling of 312141401 in words is "three hundred twelve million, one hundred forty-one thousand, four hundred one".

Divisors: 1 11 13 121 143 1573 198437 2182807 2579681 24010877 28376491 312141401