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10332420330441 = 31119113145833091
BaseRepresentation
bin1001011001011011010000…
…1111100101001111001001
31100120202210010201201010210
42112112310033211033021
52323241244101033231
633550352014231333
72114331002465526
oct226266417451711
940522703651123
1010332420330441
113323a55a02440
1211aa5aa7b5549
1359c45c9057c1
1427a13dd0c14d
1512db8396aa46
hex965b43e53c9

10332420330441 has 32 divisors (see below), whose sum is σ = 15959973588480. Its totient is φ = 5879990188800.

The previous prime is 10332420330391. The next prime is 10332420330493. The reversal of 10332420330441 is 14403302423301.

It is a happy number.

It is not a de Polignac number, because 10332420330441 - 218 = 10332420068297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10332420330399 and 10332420330408.

It is not an unprimeable number, because it can be changed into a prime (10332420337441) 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 31 ways as a sum of consecutive naturals, for example, 72845695 + ... + 72987396.

It is an arithmetic number, because the mean of its divisors is an integer number (498749174640).

Almost surely, 210332420330441 is an apocalyptic number.

10332420330441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10332420330441 is a deficient number, since it is larger than the sum of its proper divisors (5627553258039).

10332420330441 is a wasteful number, since it uses less digits than its factorization.

10332420330441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145833237.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10332420330441 its reverse (14403302423301), we get a palindrome (24735722753742).

The spelling of 10332420330441 in words is "ten trillion, three hundred thirty-two billion, four hundred twenty million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 11 19 33 57 113 209 339 627 1243 2147 3729 6441 23617 70851 145833091 437499273 1604164001 2770828729 4812492003 8312486187 16479139283 30479116019 49437417849 91437348057 181270532113 313103646377 543811596339 939310939131 3444140110147 10332420330441