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61012129 is a prime number
BaseRepresentation
bin1110100010111…
…1100010100001
311020210201220111
43220233202201
5111104342004
610015411321
71340410633
oct350574241
9136721814
1061012129
1131492352
1218523b41
13c842869
148162a53
155552a04
hex3a2f8a1

61012129 has 2 divisors, whose sum is σ = 61012130. Its totient is φ = 61012128.

The previous prime is 61012093. The next prime is 61012187. The reversal of 61012129 is 92121016.

61012129 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., 38192400 + 22819729 = 6180^2 + 4777^2 .

It is a cyclic number.

It is not a de Polignac number, because 61012129 - 213 = 61003937 is a prime.

It is a super-2 number, since 2×610121292 = 7444959770225282, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (61012199) 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, 30506064 + 30506065.

It is an arithmetic number, because the mean of its divisors is an integer number (30506065).

Almost surely, 261012129 is an apocalyptic number.

It is an amenable number.

61012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

61012129 is an equidigital number, since it uses as much as digits as its factorization.

61012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 61012129 is about 7811.0261169708. The cubic root of 61012129 is about 393.6758071682.

The spelling of 61012129 in words is "sixty-one million, twelve thousand, one hundred twenty-nine".