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1002031011 = 32313591509
BaseRepresentation
bin111011101110011…
…100011110100011
32120211111110010200
4323232130132203
54023004443021
6243233000243
733555060132
oct7356343643
92524443120
101002031011
11474690803
1223b6b3083
1312c79b777
1497119919
155ce83126
hex3bb9c7a3

1002031011 has 12 divisors (see below), whose sum is σ = 1494068160. Its totient is φ = 646471440.

The previous prime is 1002030989. The next prime is 1002031031. The reversal of 1002031011 is 1101302001.

It is a de Polignac number, because none of the positive numbers 2k-1002031011 is a prime.

It is a super-2 number, since 2×10020310112 = 2008132294011364242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002030984 and 1002031002.

It is not an unprimeable number, because it can be changed into a prime (1002031031) 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, 1795476 + ... + 1796033.

It is an arithmetic number, because the mean of its divisors is an integer number (124505680).

Almost surely, 21002031011 is an apocalyptic number.

1002031011 is a deficient number, since it is larger than the sum of its proper divisors (492037149).

1002031011 is a wasteful number, since it uses less digits than its factorization.

1002031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591546 (or 3591543 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1002031011 is about 31654.8734162688. The cubic root of 1002031011 is about 1000.6765458492.

Adding to 1002031011 its reverse (1101302001), we get a palindrome (2103333012).

The spelling of 1002031011 in words is "one billion, two million, thirty-one thousand, eleven".

Divisors: 1 3 9 31 93 279 3591509 10774527 32323581 111336779 334010337 1002031011