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1010401331 is a prime number
BaseRepresentation
bin111100001110011…
…000000000110011
32121102020201001112
4330032120000303
54032130320311
6244132223535
734016161322
oct7416300063
92542221045
101010401331
11479388525
1224246abab
1313143c614
14982980b9
155da8828b
hex3c398033

1010401331 has 2 divisors, whose sum is σ = 1010401332. Its totient is φ = 1010401330.

The previous prime is 1010401283. The next prime is 1010401363. The reversal of 1010401331 is 1331040101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010401331 is a prime.

It is a super-2 number, since 2×10104013312 = 2041821699373143122, which contains 22 as substring.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (1010400331) 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, 505200665 + 505200666.

It is an arithmetic number, because the mean of its divisors is an integer number (505200666).

Almost surely, 21010401331 is an apocalyptic number.

1010401331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010401331 is an equidigital number, since it uses as much as digits as its factorization.

1010401331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1010401331 is about 31786.8106452975. The cubic root of 1010401331 is about 1003.4551584640.

Adding to 1010401331 its reverse (1331040101), we get a palindrome (2341441432).

The spelling of 1010401331 in words is "one billion, ten million, four hundred one thousand, three hundred thirty-one".