Search a number
-
+
100467361 is a prime number
BaseRepresentation
bin1011111110100…
…00001010100001
321000001021022101
411333100022201
5201204423421
613545210401
72326646521
oct577201241
9230037271
10100467361
1151790685
1229790a01
1317a78457
14d4b3681
158c48191
hex5fd02a1

100467361 has 2 divisors, whose sum is σ = 100467362. Its totient is φ = 100467360.

The previous prime is 100467349. The next prime is 100467377. The reversal of 100467361 is 163764001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61716736 + 38750625 = 7856^2 + 6225^2 .

It is an emirp because it is prime and its reverse (163764001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100467361 - 27 = 100467233 is a prime.

It is not a weakly prime, because it can be changed into another prime (100467461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50233680 + 50233681.

It is an arithmetic number, because the mean of its divisors is an integer number (50233681).

Almost surely, 2100467361 is an apocalyptic number.

It is an amenable number.

100467361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100467361 is an equidigital number, since it uses as much as digits as its factorization.

100467361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 100467361 is about 10023.3408103287. The cubic root of 100467361 is about 464.8808589822.

The spelling of 100467361 in words is "one hundred million, four hundred sixty-seven thousand, three hundred sixty-one".