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343204142224131 = 32307392393165583
BaseRepresentation
bin100111000001001000111000…
…0111110111001001100000011
31200000011222212202202100101200
41032002101300332321030003
5324441024040402133011
63213533450100232243
7132201452405214126
oct11602216076711403
91600158782670350
10343204142224131
119a3a0071a767a1
12325ab31899b683
131196701ca48826
1460a72520a23bd
1529a27d9c0e856
hex1382470fb9303

343204142224131 has 24 divisors (see below), whose sum is σ = 497366934704640. Its totient is φ = 228051591563376.

The previous prime is 343204142224091. The next prime is 343204142224217. The reversal of 343204142224131 is 131422241402343.

343204142224131 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 0 + 4 + 14 + 222 + 413 + 1 = 666.

It is not a de Polignac number, because 343204142224131 - 26 = 343204142224067 is a prime.

It is a super-2 number, since 2×3432041422241312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343204142229131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106834566 + ... + 110000148.

It is an arithmetic number, because the mean of its divisors is an integer number (20723622279360).

Almost surely, 2343204142224131 is an apocalyptic number.

343204142224131 is a deficient number, since it is larger than the sum of its proper divisors (154162792480509).

343204142224131 is a wasteful number, since it uses less digits than its factorization.

343204142224131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205135 (or 3205132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 343204142224131 its reverse (131422241402343), we get a palindrome (474626383626474).

The spelling of 343204142224131 in words is "three hundred forty-three trillion, two hundred four billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 307 921 2763 39239 117717 353151 3165583 9496749 12046373 28490247 36139119 108417357 971833981 2915501943 8746505829 124214311337 372642934011 1117928802033 38133793580459 114401380741377 343204142224131