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45311129 is a prime number
BaseRepresentation
bin1010110011011…
…0010010011001
310011021001011222
42230312102121
543044424004
64255101425
71060065263
oct254662231
9104231158
1045311129
1123638a16
1213211875
139506126
146036b33
153ea07be
hex2b36499

45311129 has 2 divisors, whose sum is σ = 45311130. Its totient is φ = 45311128.

The previous prime is 45311107. The next prime is 45311159. The reversal of 45311129 is 92111354.

45311129 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., 43494025 + 1817104 = 6595^2 + 1348^2 .

It is a cyclic number.

It is not a de Polignac number, because 45311129 - 28 = 45310873 is a prime.

It is a super-2 number, since 2×453111292 = 4106196822509282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45311098 and 45311107.

It is not a weakly prime, because it can be changed into another prime (45311159) 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, 22655564 + 22655565.

It is an arithmetic number, because the mean of its divisors is an integer number (22655565).

Almost surely, 245311129 is an apocalyptic number.

It is an amenable number.

45311129 is a deficient number, since it is larger than the sum of its proper divisors (1).

45311129 is an equidigital number, since it uses as much as digits as its factorization.

45311129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 45311129 is about 6731.3541728244. The cubic root of 45311129 is about 356.5071911537.

The spelling of 45311129 in words is "forty-five million, three hundred eleven thousand, one hundred twenty-nine".