Search a number
-
+
42101145 = 325935581
BaseRepresentation
bin1010000010011…
…0100110011001
32221012221220200
42200212212121
541234214040
64102212413
71020565602
oct240464631
987187820
1042101145
1121846239
1212124109
138951028
14583cda9
153a69630
hex2826999

42101145 has 12 divisors (see below), whose sum is σ = 72975396. Its totient is φ = 22453920.

The previous prime is 42101119. The next prime is 42101149. The reversal of 42101145 is 54110124.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 10830681 = 5592^2 + 3291^2 .

It is not a de Polignac number, because 42101145 - 25 = 42101113 is a prime.

It is a super-2 number, since 2×421011452 = 3545012820622050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42101149) 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 11 ways as a sum of consecutive naturals, for example, 467746 + ... + 467835.

It is an arithmetic number, because the mean of its divisors is an integer number (6081283).

Almost surely, 242101145 is an apocalyptic number.

42101145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42101145 is a deficient number, since it is larger than the sum of its proper divisors (30874251).

42101145 is a wasteful number, since it uses less digits than its factorization.

42101145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935592 (or 935589 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 42101145 is about 6488.5395120936. The cubic root of 42101145 is about 347.8814746975.

Adding to 42101145 its reverse (54110124), we get a palindrome (96211269).

The spelling of 42101145 in words is "forty-two million, one hundred one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 935581 2806743 4677905 8420229 14033715 42101145