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312430033313333 = 13171371402408793
BaseRepresentation
bin100011100001001110100100…
…1001001110001111000110101
31111222020000112012120110022122
41013002131021021301320311
5311422323202012011313
63024252213104405325
7122544216323400635
oct10702351111617065
91458200465513278
10312430033313333
1190605918853531
122b05b04a016845
131054404468cc50
1457219a12146c5
15261c04eb82708
hex11c2749271e35

312430033313333 has 8 divisors (see below), whose sum is σ = 336482746762008. Its totient is φ = 288380124716544.

The previous prime is 312430033313297. The next prime is 312430033313353. The reversal of 312430033313333 is 333313330034213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1571066710084 + 310858966603249 = 1253422^2 + 17631193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312430033313333 - 226 = 312429966204469 is a prime.

It is a super-2 number, since 2×3124300333133332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312430033313293 and 312430033313302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312430033313353) 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 7 ways as a sum of consecutive naturals, for example, 700981616 + ... + 701427177.

It is an arithmetic number, because the mean of its divisors is an integer number (42060343345251).

Almost surely, 2312430033313333 is an apocalyptic number.

It is an amenable number.

312430033313333 is a deficient number, since it is larger than the sum of its proper divisors (24052713448675).

312430033313333 is a wasteful number, since it uses less digits than its factorization.

312430033313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402425943.

The product of its (nonzero) digits is 157464, while the sum is 35.

Adding to 312430033313333 its reverse (333313330034213), we get a palindrome (645743363347546).

The spelling of 312430033313333 in words is "three hundred twelve trillion, four hundred thirty billion, thirty-three million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 13 17137 222781 1402408793 18231314309 24033079485641 312430033313333