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1002003401 = 7237552677
BaseRepresentation
bin111011101110010…
…101101111001001
32120211110001021002
4323232111233021
54023003102101
6243232224345
733554613500
oct7356255711
92524401232
101002003401
11474671a93
1223b69b0b5
1312c78c029
149710d837
155ce79d6b
hex3bb95bc9

1002003401 has 12 divisors (see below), whose sum is σ = 1197100548. Its totient is φ = 835646112.

The previous prime is 1002003383. The next prime is 1002003403. The reversal of 1002003401 is 1043002001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 551545225 + 450458176 = 23485^2 + 21224^2 .

It is not a de Polignac number, because 1002003401 - 26 = 1002003337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002003403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274526 + ... + 278151.

It is an arithmetic number, because the mean of its divisors is an integer number (99758379).

Almost surely, 21002003401 is an apocalyptic number.

It is an amenable number.

1002003401 is a deficient number, since it is larger than the sum of its proper divisors (195097147).

1002003401 is an equidigital number, since it uses as much as digits as its factorization.

1002003401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552728 (or 552721 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002003401 is about 31654.4373034809. The cubic root of 1002003401 is about 1000.6673548717.

Adding to 1002003401 its reverse (1043002001), we get a palindrome (2045005402).

The spelling of 1002003401 in words is "one billion, two million, three thousand, four hundred one".

Divisors: 1 7 37 49 259 1813 552677 3868739 20449049 27081173 143143343 1002003401