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109958941 = 1753122041
BaseRepresentation
bin1101000110111…
…01011100011101
321122220111022101
412203131130131
5211122141231
614524445101
72503431001
oct643353435
9248814271
10109958941
1157083864
12309a9791
1319a1c781
1410864701
1599c0661
hex68dd71d

109958941 has 8 divisors (see below), whose sum is σ = 118624824. Its totient is φ = 101537280.

The previous prime is 109958921. The next prime is 109958957. The reversal of 109958941 is 149859901.

It can be written as a sum of positive squares in 4 ways, for example, as 26163225 + 83795716 = 5115^2 + 9154^2 .

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 109958941 - 219 = 109434653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 109958891 and 109958900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109958921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60120 + ... + 61921.

It is an arithmetic number, because the mean of its divisors is an integer number (14828103).

Almost surely, 2109958941 is an apocalyptic number.

It is an amenable number.

109958941 is a deficient number, since it is larger than the sum of its proper divisors (8665883).

109958941 is a wasteful number, since it uses less digits than its factorization.

109958941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122111.

The product of its (nonzero) digits is 116640, while the sum is 46.

The square root of 109958941 is about 10486.1308879872. The cubic root of 109958941 is about 479.0823628607.

The spelling of 109958941 in words is "one hundred nine million, nine hundred fifty-eight thousand, nine hundred forty-one".

Divisors: 1 17 53 901 122041 2074697 6468173 109958941