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1009624141 is a prime number
BaseRepresentation
bin111100001011011…
…010010001001101
32121100210012221201
4330023122101031
54031430433031
6244103425501
734006443421
oct7413322115
92540705851
101009624141
114789a7619
12242155291
13131229946
1498134b81
155d982d61
hex3c2da44d

1009624141 has 2 divisors, whose sum is σ = 1009624142. Its totient is φ = 1009624140.

The previous prime is 1009624129. The next prime is 1009624153. The reversal of 1009624141 is 1414269001.

1009624141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1009624129) and next prime (1009624153).

It can be written as a sum of positive squares in only one way, i.e., 946485225 + 63138916 = 30765^2 + 7946^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009624141 - 211 = 1009622093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009624171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504812070 + 504812071.

It is an arithmetic number, because the mean of its divisors is an integer number (504812071).

Almost surely, 21009624141 is an apocalyptic number.

It is an amenable number.

1009624141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009624141 is an equidigital number, since it uses as much as digits as its factorization.

1009624141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1009624141 is about 31774.5832545448. The cubic root of 1009624141 is about 1003.1978101102.

The spelling of 1009624141 in words is "one billion, nine million, six hundred twenty-four thousand, one hundred forty-one".