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107041441 = 1334923593
BaseRepresentation
bin1100110000101…
…01001010100001
321110102021020211
412120111022201
5204400311231
614342134121
72436560113
oct630251241
9243367224
10107041441
1155470901
122ba21341
131923a840
14103053b3
1595e5eb1
hex66152a1

107041441 has 8 divisors (see below), whose sum is σ = 115610600. Its totient is φ = 98520192.

The previous prime is 107041393. The next prime is 107041453. The reversal of 107041441 is 144140701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 106523041 = 720^2 + 10321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107041441 - 27 = 107041313 is a prime.

It is a super-2 number, since 2×1070414412 = 22915740182712962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107041841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7260 + ... + 16333.

It is an arithmetic number, because the mean of its divisors is an integer number (14451325).

Almost surely, 2107041441 is an apocalyptic number.

It is an amenable number.

107041441 is a deficient number, since it is larger than the sum of its proper divisors (8569159).

107041441 is a wasteful number, since it uses less digits than its factorization.

107041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 107041441 is about 10346.0833652160. The cubic root of 107041441 is about 474.8072214945.

The spelling of 107041441 in words is "one hundred seven million, forty-one thousand, four hundred forty-one".

Divisors: 1 13 349 4537 23593 306709 8233957 107041441