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1007143057 is a prime number
BaseRepresentation
bin111100000001111…
…100100010010001
32121012010011112201
4330001330202101
54030312034212
6243534323201
733646401064
oct7401744221
92535104481
101007143057
11477562538
12241359501
1313086b54b
1497a8a8db
155d642b57
hex3c07c891

1007143057 has 2 divisors, whose sum is σ = 1007143058. Its totient is φ = 1007143056.

The previous prime is 1007143043. The next prime is 1007143069. The reversal of 1007143057 is 7503417001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 723018321 + 284124736 = 26889^2 + 16856^2 .

It is an emirp because it is prime and its reverse (7503417001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007143057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007144057) 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, 503571528 + 503571529.

It is an arithmetic number, because the mean of its divisors is an integer number (503571529).

Almost surely, 21007143057 is an apocalyptic number.

It is an amenable number.

1007143057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007143057 is an equidigital number, since it uses as much as digits as its factorization.

1007143057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1007143057 is about 31735.5172795403. The cubic root of 1007143057 is about 1002.3753721396.

The spelling of 1007143057 in words is "one billion, seven million, one hundred forty-three thousand, fifty-seven".