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10330112441 = 1117101546943
BaseRepresentation
bin10011001111011100…
…10000000110111001
3222122220221002021002
421213232100012321
5132124002044231
64425014054345
7513663335615
oct114756200671
928586832232
1010330112441
114421096410
12200364a3b5
13c881cc48c
146ddd34345
15406d690cb
hex267b901b9

10330112441 has 16 divisors (see below), whose sum is σ = 12050270208. Its totient is φ = 8751072000.

The previous prime is 10330112437. The next prime is 10330112453. The reversal of 10330112441 is 14421103301.

10330112441 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 10330112441 - 22 = 10330112437 is a prime.

It is a super-2 number, since 2×103301124412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10330112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254585 + ... + 292358.

It is an arithmetic number, because the mean of its divisors is an integer number (753141888).

Almost surely, 210330112441 is an apocalyptic number.

10330112441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10330112441 is a deficient number, since it is larger than the sum of its proper divisors (1720157767).

10330112441 is a wasteful number, since it uses less digits than its factorization.

10330112441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547072.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10330112441 its reverse (14421103301), we get a palindrome (24751215742).

The spelling of 10330112441 in words is "ten billion, three hundred thirty million, one hundred twelve thousand, four hundred forty-one".

Divisors: 1 11 17 101 187 1111 1717 18887 546943 6016373 9298031 55241243 102278341 607653673 939101131 10330112441