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10330033441 = 7213371094021
BaseRepresentation
bin10011001111011011…
…11100110100100001
3222122220210001220011
421213231330310201
5132123442032231
64425012244521
7513662556400
oct114755746441
928586701804
1010330033441
114421042022
122003610741
13c881a2530
146ddd13637
15406d509b1
hex267b7cd21

10330033441 has 48 divisors (see below), whose sum is σ = 13415944080. Its totient is φ = 7877399040.

The previous prime is 10330033433. The next prime is 10330033453. The reversal of 10330033441 is 14433003301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 190550416 + 10139483025 = 13804^2 + 100695^2 .

It is not a de Polignac number, because 10330033441 - 23 = 10330033433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10330033481) by changing a digit.

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, 2567011 + ... + 2571031.

It is an arithmetic number, because the mean of its divisors is an integer number (279498835).

Almost surely, 210330033441 is an apocalyptic number.

It is an amenable number.

10330033441 is a deficient number, since it is larger than the sum of its proper divisors (3085910639).

10330033441 is a wasteful number, since it uses less digits than its factorization.

10330033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10330033441 its reverse (14433003301), we get a palindrome (24763036742).

The spelling of 10330033441 in words is "ten billion, three hundred thirty million, thirty-three thousand, four hundred forty-one".

Divisors: 1 7 13 37 49 91 109 259 481 637 763 1417 1813 3367 4021 4033 5341 9919 23569 28147 28231 52273 52429 69433 148777 197029 197617 365911 367003 438289 1041439 1934101 2561377 2569021 3068023 5697757 7290073 13538707 16216693 21476161 39884299 94770949 113516851 210817009 279190093 794617957 1475719063 10330033441