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61142401 is a prime number
BaseRepresentation
bin1110100100111…
…1010110000001
311021001100121101
43221033112001
5111123024101
610022254401
71341462505
oct351172601
9137040541
1061142401
1131571211
1218587401
13c889c48
148198305
15557b401
hex3a4f581

61142401 has 2 divisors, whose sum is σ = 61142402. Its totient is φ = 61142400.

The previous prime is 61142381. The next prime is 61142407. The reversal of 61142401 is 10424116.

61142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57988225 + 3154176 = 7615^2 + 1776^2 .

It is a cyclic number.

It is not a de Polignac number, because 61142401 - 25 = 61142369 is a prime.

It is not a weakly prime, because it can be changed into another prime (61142407) 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, 30571200 + 30571201.

It is an arithmetic number, because the mean of its divisors is an integer number (30571201).

Almost surely, 261142401 is an apocalyptic number.

It is an amenable number.

61142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

61142401 is an equidigital number, since it uses as much as digits as its factorization.

61142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 61142401 is about 7819.3606516134. The cubic root of 61142401 is about 393.9557978189.

Adding to 61142401 its reverse (10424116), we get a palindrome (71566517).

It can be divided in two parts, 6114 and 2401, that added together give a triangular number (8515 = T130).

The spelling of 61142401 in words is "sixty-one million, one hundred forty-two thousand, four hundred one".