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10332143432331 = 371792748641509
BaseRepresentation
bin1001011001011010001110…
…1111010011001010001011
31100120202001211200211100020
42112112203233103022023
52323240212204313311
633550304323311523
72114321101054440
oct226264357231213
940522054624306
1010332143432331
113323923677826
1211aa531b1b5a3
1359c417435c76
1427a11522d9c7
1512db694c1c06
hex965a3bd328b

10332143432331 has 16 divisors (see below), whose sum is σ = 15832175097600. Its totient is φ = 5871098261088.

The previous prime is 10332143432311. The next prime is 10332143432353. The reversal of 10332143432331 is 13323434123301.

It is a happy number.

It is not a de Polignac number, because 10332143432331 - 211 = 10332143430283 is a prime.

It is a super-3 number, since 3×103321434323313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10332143432292 and 10332143432301.

It is not an unprimeable number, because it can be changed into a prime (10332143432311) 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 15 ways as a sum of consecutive naturals, for example, 1374316996 + ... + 1374324513.

It is an arithmetic number, because the mean of its divisors is an integer number (989510943600).

Almost surely, 210332143432331 is an apocalyptic number.

10332143432331 is a deficient number, since it is larger than the sum of its proper divisors (5500031665269).

10332143432331 is a wasteful number, since it uses less digits than its factorization.

10332143432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748641698.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 10332143432331 its reverse (13323434123301), we get a palindrome (23655577555632).

The spelling of 10332143432331 in words is "ten trillion, three hundred thirty-two billion, one hundred forty-three million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 179 537 1253 3759 2748641509 8245924527 19240490563 57721471689 492006830111 1476020490333 3444047810777 10332143432331