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312432202234213 = 314779925729969
BaseRepresentation
bin100011100001001111100101…
…0011011100011100101100101
31111222020020010100210001102121
41013002133022123203211211
5311422342122232443323
63024253212224105541
7122544324141045265
oct10702371233434545
91458206110701377
10312432202234213
1190606831085926
122b05b5544652b1
13105442cbb2c399
145721b292c17a5
15261c12a2b0a5d
hex11c27ca6e3965

312432202234213 has 4 divisors (see below), whose sum is σ = 312442127995660. Its totient is φ = 312422276472768.

The previous prime is 312432202234199. The next prime is 312432202234231.

It is a happy number.

312432202234213 is nontrivially palindromic in base 10.

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 224074044624609 + 88358157609604 = 14969103^2 + 9399902^2 .

It is a cyclic number.

It is not a de Polignac number, because 312432202234213 - 25 = 312432202234181 is a prime.

It is a super-2 number, since 2×3124322022342132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312432202234283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4962833508 + ... + 4962896461.

It is an arithmetic number, because the mean of its divisors is an integer number (78110531998915).

Almost surely, 2312432202234213 is an apocalyptic number.

It is an amenable number.

312432202234213 is a deficient number, since it is larger than the sum of its proper divisors (9925761447).

312432202234213 is an equidigital number, since it uses as much as digits as its factorization.

312432202234213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9925761446.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 31243220 and 2234213, that added together give a palindrome (33477433).

The spelling of 312432202234213 in words is "three hundred twelve trillion, four hundred thirty-two billion, two hundred two million, two hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 31477 9925729969 312432202234213