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312430135535321 = 2414297666145293
BaseRepresentation
bin100011100001001110100111…
…1001111101110011011011001
31111222020000210022220212112012
41013002131033033232123121
5311422323404144112241
63024252231155355305
7122544222004306136
oct10702351717563331
91458200708825465
10312430135535321
1190605970522411
122b05b0782b2b35
131054405c900c2b
1457219b0a2358d
15261c058b256eb
hex11c274f3ee6d9

312430135535321 has 16 divisors (see below), whose sum is σ = 313853575960848. Its totient is φ = 311007772108800.

The previous prime is 312430135535269. The next prime is 312430135535351. The reversal of 312430135535321 is 123535531034213.

It can be written as a sum of positive squares in 8 ways, for example, as 69785306137600 + 242644829397721 = 8353760^2 + 15577061^2 .

It is a cyclic number.

It is not a de Polignac number, because 312430135535321 - 242 = 308032089024217 is a prime.

It is a super-2 number, since 2×3124301355353212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312430135535351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6897955751 + ... + 6898001043.

It is an arithmetic number, because the mean of its divisors is an integer number (19615848497553).

Almost surely, 2312430135535321 is an apocalyptic number.

It is an amenable number.

312430135535321 is a deficient number, since it is larger than the sum of its proper divisors (1423440425527).

312430135535321 is a wasteful number, since it uses less digits than its factorization.

312430135535321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56492.

The product of its (nonzero) digits is 486000, while the sum is 41.

Adding to 312430135535321 its reverse (123535531034213), we get a palindrome (435965666569534).

The spelling of 312430135535321 in words is "three hundred twelve trillion, four hundred thirty billion, one hundred thirty-five million, five hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 241 4297 6661 45293 1035577 1605301 10915613 28622317 194624021 301696673 6897978397 46904389061 72708898193 1296390603881 312430135535321