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103742041 = 1317253521
BaseRepresentation
bin1100010111011…
…11101001011001
321020012122022211
412023233221121
5203024221131
614143315121
72366535634
oct613575131
9236178284
10103742041
1153617a27
122a8abaa1
1318653b30
14dac6c1b
1591935b1
hex62efa59

103742041 has 24 divisors (see below), whose sum is σ = 121152024. Its totient is φ = 88258560.

The previous prime is 103742039. The next prime is 103742069. The reversal of 103742041 is 140247301.

It can be written as a sum of positive squares in 12 ways, for example, as 8386816 + 95355225 = 2896^2 + 9765^2 .

It is not a de Polignac number, because 103742041 - 21 = 103742039 is a prime.

It is a super-2 number, since 2×1037420412 = 21524822141691362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103742741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198861 + ... + 199381.

It is an arithmetic number, because the mean of its divisors is an integer number (5048001).

Almost surely, 2103742041 is an apocalyptic number.

It is an amenable number.

103742041 is a deficient number, since it is larger than the sum of its proper divisors (17409983).

103742041 is a wasteful number, since it uses less digits than its factorization.

103742041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 103742041 is about 10185.3836942945. The cubic root of 103742041 is about 469.8778028482.

Adding to 103742041 its reverse (140247301), we get a palindrome (243989342).

The spelling of 103742041 in words is "one hundred three million, seven hundred forty-two thousand, forty-one".

Divisors: 1 13 17 53 221 289 521 689 901 3757 6773 8857 11713 15317 27613 115141 150569 199121 358969 469421 1957397 6102473 7980157 103742041