Search a number
-
+
1006050100 = 225211914591
BaseRepresentation
bin111011111101110…
…001101100110100
32121010001122021211
4323331301230310
54030022100400
6243455051204
733634166446
oct7375615464
92533048254
101006050100
11476986370
12240b10b04
13130577c23
1497884496
155d4c8dba
hex3bf71b34

1006050100 has 36 divisors (see below), whose sum is σ = 2381597568. Its totient is φ = 365836000.

The previous prime is 1006050079. The next prime is 1006050137. The reversal of 1006050100 is 10506001.

It is a congruent number.

It is an unprimeable number.

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, 456196 + ... + 458395.

It is an arithmetic number, because the mean of its divisors is an integer number (66155488).

Almost surely, 21006050100 is an apocalyptic number.

1006050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006050100 is an abundant number, since it is smaller than the sum of its proper divisors (1375547468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006050100 is a wasteful number, since it uses less digits than its factorization.

1006050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914616 (or 914609 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1006050100 is about 31718.2928292177. The cubic root of 1006050100 is about 1002.0126465363.

Adding to 1006050100 its reverse (10506001), we get a palindrome (1016556101).

The spelling of 1006050100 in words is "one billion, six million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 914591 1829182 3658364 4572955 9145910 10060501 18291820 20121002 22864775 40242004 45729550 50302505 91459100 100605010 201210020 251512525 503025050 1006050100