Search a number
-
+
312033120000001 = 2766731127804737
BaseRepresentation
bin100011011110010101101111…
…1010001101001100000000001
31111220211002000122011000102021
41012330223133101221200001
5311344322312210000001
63023350011510521441
7122503435412035261
oct10674533721514001
91456732018130367
10312033120000001
119047255960a554
122abb6138666281
131051579b697c2a
14570a6aad817a1
152611a6e252ba1
hex11bcadf469801

312033120000001 has 4 divisors (see below), whose sum is σ = 312034248081412. Its totient is φ = 312031991918592.

The previous prime is 312033119999933. The next prime is 312033120000029. The reversal of 312033120000001 is 100000021330213.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11162448050625 + 300870671949376 = 3341025^2 + 17345624^2 .

It is a cyclic number.

It is not a de Polignac number, because 312033120000001 - 229 = 312032583129089 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 312033120000001.

It is not an unprimeable number, because it can be changed into a prime (312033120003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563625696 + ... + 564179041.

It is an arithmetic number, because the mean of its divisors is an integer number (78008562020353).

Almost surely, 2312033120000001 is an apocalyptic number.

It is an amenable number.

312033120000001 is a deficient number, since it is larger than the sum of its proper divisors (1128081411).

312033120000001 is a wasteful number, since it uses less digits than its factorization.

312033120000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128081410.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312033120000001 its reverse (100000021330213), we get a palindrome (412033141330214).

The spelling of 312033120000001 in words is "three hundred twelve trillion, thirty-three billion, one hundred twenty million, one", and thus it is an aban number.

Divisors: 1 276673 1127804737 312033120000001