Search a number
-
+
60101 is a prime number
BaseRepresentation
bin1110101011000101
310001102222
432223011
53410401
61142125
7340136
oct165305
9101388
1060101
1141178
122a945
1321482
1417c8d
1512c1b
hexeac5

60101 has 2 divisors, whose sum is σ = 60102. Its totient is φ = 60100.

The previous prime is 60091. The next prime is 60103. The reversal of 60101 is 10106.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 9025 = 226^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 60101 - 26 = 60037 is a prime.

It is a super-2 number, since 2×601012 = 7224260402, which contains 22 as substring.

Together with 60103, it forms a pair of twin primes.

It is a Chen prime.

60101 is a modest number, since divided by 101 gives 6 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (60103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30050 + 30051.

It is an arithmetic number, because the mean of its divisors is an integer number (30051).

260101 is an apocalyptic number.

It is an amenable number.

60101 is a deficient number, since it is larger than the sum of its proper divisors (1).

60101 is an equidigital number, since it uses as much as digits as its factorization.

60101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 60101 is about 245.1550529767. The cubic root of 60101 is about 39.1706308547.

Adding to 60101 its reverse (10106), we get a palindrome (70207).

It can be divided in two parts, 60 and 101, that added together give a palindrome (161).

The spelling of 60101 in words is "sixty thousand, one hundred one".