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234324131300001 = 32181315174564057
BaseRepresentation
bin110101010001110111010110…
…100110111100001010100001
31010201200011112121020121011200
4311101313112212330022201
5221203131310103100001
62150211004141231413
7100233234262430031
oct6521672646741241
91121604477217150
10234324131300001
1168732340335106
1222345705562569
13a0998948a3ba2
1441c14c42a98c1
151c15495cac086
hexd51dd69bc2a1

234324131300001 has 24 divisors (see below), whose sum is σ = 340349052784104. Its totient is φ = 155348052007680.

The previous prime is 234324131299933. The next prime is 234324131300069. The reversal of 234324131300001 is 100003131423432.

It is a happy number.

234324131300001 is a `hidden beast` number, since 2 + 3 + 4 + 324 + 1 + 31 + 300 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (234324131299933) and next prime (234324131300069).

It can be written as a sum of positive squares in 4 ways, for example, as 21843948410001 + 212480182890000 = 4673751^2 + 14576700^2 .

It is not a de Polignac number, because 234324131300001 - 211 = 234324131297953 is a prime.

It is a super-3 number, since 3×2343241313000013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234324131300071) 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, 49059165 + ... + 53623221.

It is an arithmetic number, because the mean of its divisors is an integer number (14181210532671).

Almost surely, 2234324131300001 is an apocalyptic number.

It is an amenable number.

234324131300001 is a deficient number, since it is larger than the sum of its proper divisors (106024921484103).

234324131300001 is a wasteful number, since it uses less digits than its factorization.

234324131300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595761 (or 4595758 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 234324131300001 its reverse (100003131423432), we get a palindrome (334327262723433).

The spelling of 234324131300001 in words is "two hundred thirty-four trillion, three hundred twenty-four billion, one hundred thirty-one million, three hundred thousand, one".

Divisors: 1 3 9 181 543 1629 31517 94551 283653 4564057 5704577 13692171 17113731 41076513 51341193 826094317 2478282951 7434848853 143845384469 431536153407 1294608460221 26036014588889 78108043766667 234324131300001