Search a number
-
+
42110381 is a prime number
BaseRepresentation
bin1010000010100…
…0110110101101
32221020102120202
42200220312231
541240013011
64102323245
71020634535
oct240506655
987212522
1042110381
1121852175
1212129525
1389552b1
1458424c5
153a6c23b
hex2828dad

42110381 has 2 divisors, whose sum is σ = 42110382. Its totient is φ = 42110380.

The previous prime is 42110347. The next prime is 42110389. The reversal of 42110381 is 18301124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41396356 + 714025 = 6434^2 + 845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42110381 is a prime.

It is a super-3 number, since 3×421103813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42110389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21055190 + 21055191.

It is an arithmetic number, because the mean of its divisors is an integer number (21055191).

Almost surely, 242110381 is an apocalyptic number.

It is an amenable number.

42110381 is a deficient number, since it is larger than the sum of its proper divisors (1).

42110381 is an equidigital number, since it uses as much as digits as its factorization.

42110381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 42110381 is about 6489.2511894671. The cubic root of 42110381 is about 347.9069118392.

The spelling of 42110381 in words is "forty-two million, one hundred ten thousand, three hundred eighty-one".