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312212322430434 = 232171020301707289
BaseRepresentation
bin100011011111101001001100…
…0100100101010110111100010
31111221110012120120010200220100
41012333102120210222313202
5311410241314020233214
63024004205540523230
7122522411254413546
oct10677223044526742
91457405516120810
10312212322430434
1190531558720928
122b024a0b0b0516
1310529659cca90a
14571522ac85a26
15261655b914309
hex11bf49892ade2

312212322430434 has 24 divisors (see below), whose sum is σ = 716251798517580. Its totient is φ = 97948963899648.

The previous prime is 312212322430409. The next prime is 312212322430501. The reversal of 312212322430434 is 434034223212213.

312212322430434 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 123 + 224 + 304 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 309995990530209 + 2216331900225 = 17606703^2 + 1488735^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510150853339 + ... + 510150853950.

Almost surely, 2312212322430434 is an apocalyptic number.

312212322430434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

312212322430434 is an abundant number, since it is smaller than the sum of its proper divisors (404039476087146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312212322430434 is a wasteful number, since it uses less digits than its factorization.

312212322430434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020301707314 (or 1020301707311 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312212322430434 its reverse (434034223212213), we get a palindrome (746246545642647).

The spelling of 312212322430434 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred twenty-two million, four hundred thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1020301707289 2040603414578 3060905121867 6121810243734 9182715365601 17345129023913 18365430731202 34690258047826 52035387071739 104070774143478 156106161215217 312212322430434