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1006102010 = 25100610201
BaseRepresentation
bin111011111101111…
…110010111111010
32121010011021111102
4323331332113322
54030030231020
6243500131402
733634504004
oct7375762772
92533137442
101006102010
11476a11371
12240b36b62
13130595744
1497899374
155d4d9475
hex3bf7e5fa

1006102010 has 8 divisors (see below), whose sum is σ = 1810983636. Its totient is φ = 402440800.

The previous prime is 1006101991. The next prime is 1006102033. The reversal of 1006102010 is 102016001.

It can be written as a sum of positive squares in 2 ways, for example, as 996854329 + 9247681 = 31573^2 + 3041^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1006101982 and 1006102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50305091 + ... + 50305110.

Almost surely, 21006102010 is an apocalyptic number.

1006102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006102010 is a deficient number, since it is larger than the sum of its proper divisors (804881626).

1006102010 is a wasteful number, since it uses less digits than its factorization.

1006102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100610208.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1006102010 is about 31719.1111161710. Note that the first 5 decimals coincide. The cubic root of 1006102010 is about 1002.0298801320.

Adding to 1006102010 its reverse (102016001), we get a palindrome (1108118011).

The spelling of 1006102010 in words is "one billion, six million, one hundred two thousand, ten".

Divisors: 1 2 5 10 100610201 201220402 503051005 1006102010