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1000806401 = 71031388081
BaseRepresentation
bin111011101001110…
…001100000000001
32120202012020021202
4323221301200001
54022201301101
6243150430545
733541466630
oct7351614001
92522166252
101000806401
11473a24731
1223b202455
1312c46024a
1496cbb517
155cce036b
hex3ba71801

1000806401 has 8 divisors (see below), whose sum is σ = 1154884224. Its totient is φ = 849504960.

The previous prime is 1000806379. The next prime is 1000806409. The reversal of 1000806401 is 1046080001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000806401 is a prime.

It is a super-2 number, since 2×10008064012 = 2003226904565145602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000806409) 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 in 7 ways as a sum of consecutive naturals, for example, 693320 + ... + 694761.

It is an arithmetic number, because the mean of its divisors is an integer number (144360528).

Almost surely, 21000806401 is an apocalyptic number.

It is an amenable number.

1000806401 is a deficient number, since it is larger than the sum of its proper divisors (154077823).

1000806401 is a wasteful number, since it uses less digits than its factorization.

1000806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388191.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1000806401 is about 31635.5243515893. The cubic root of 1000806401 is about 1000.2687281121.

Adding to 1000806401 its reverse (1046080001), we get a palindrome (2046886402).

The spelling of 1000806401 in words is "one billion, eight hundred six thousand, four hundred one".

Divisors: 1 7 103 721 1388081 9716567 142972343 1000806401