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243131521325 = 52711857147377
BaseRepresentation
bin1110001001101111000…
…1001001100100101101
3212020120020211222200012
43202123301021210231
512440413132140300
6303405412143005
723365011555410
oct3423361114455
9766506758605
10243131521325
11941254505a0
123b154307a65
1319c090b5024
14baa652db77
1564ced2e435
hex389bc4992d

243131521325 has 48 divisors (see below), whose sum is σ = 376316164224. Its totient is φ = 151384627200.

The previous prime is 243131521319. The next prime is 243131521333. The reversal of 243131521325 is 523125131342.

243131521325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243131521325 - 24 = 243131521309 is a prime.

It is a super-2 number, since 2×2431315213252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243131521291 and 243131521300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576037 + ... + 1723413.

It is an arithmetic number, because the mean of its divisors is an integer number (7839920088).

Almost surely, 2243131521325 is an apocalyptic number.

243131521325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243131521325 is a deficient number, since it is larger than the sum of its proper divisors (133184642899).

243131521325 is a wasteful number, since it uses less digits than its factorization.

243131521325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148262 (or 148257 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 243131521325 its reverse (523125131342), we get a palindrome (766256652667).

The spelling of 243131521325 in words is "two hundred forty-three billion, one hundred thirty-one million, five hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 857 1925 4285 5999 9427 21425 29995 47135 65989 147377 149975 235675 329945 736885 1031639 1621147 1649725 3684425 5158195 8105735 11348029 25790975 40528675 56740145 126302089 283700725 631510445 884114623 1389322979 3157552225 4420573115 6946614895 9725260853 22102865575 34733074475 48626304265 243131521325