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61368101 is a prime number
BaseRepresentation
bin1110101000011…
…0011100100101
311021110211012122
43222012130211
5111202234401
610031155325
71343422514
oct352063445
9137424178
1061368101
1131705843
1218675b45
13c9388b2
14821667b
1555c321b
hex3a86725

61368101 has 2 divisors, whose sum is σ = 61368102. Its totient is φ = 61368100.

The previous prime is 61368077. The next prime is 61368137. The reversal of 61368101 is 10186316.

61368101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59691076 + 1677025 = 7726^2 + 1295^2 .

It is a cyclic number.

It is not a de Polignac number, because 61368101 - 222 = 57173797 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61361101) 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, 30684050 + 30684051.

It is an arithmetic number, because the mean of its divisors is an integer number (30684051).

Almost surely, 261368101 is an apocalyptic number.

It is an amenable number.

61368101 is a deficient number, since it is larger than the sum of its proper divisors (1).

61368101 is an equidigital number, since it uses as much as digits as its factorization.

61368101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 61368101 is about 7833.7794837486. The cubic root of 61368101 is about 394.4399497794.

The spelling of 61368101 in words is "sixty-one million, three hundred sixty-eight thousand, one hundred one".