Search a number
-
+
1021241304040 = 235101252782501
BaseRepresentation
bin11101101110001101011…
…10011010001111101000
310121122000001200110202111
432313012232122033220
5113213000233212130
62101052441212104
7133532211600106
oct16670656321750
93548001613674
101021241304040
11364119102021
12145b0b791034
13753c1b99bb9
14375dd530c76
151b87147b02a
hexedc6b9a3e8

1021241304040 has 32 divisors (see below), whose sum is σ = 2320543368360. Its totient is φ = 404452000000.

The previous prime is 1021241304029. The next prime is 1021241304059. The reversal of 1021241304040 is 404031421201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1000372034596 + 20869269444 = 1000186^2 + 144462^2 .

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 7 ways as a sum of consecutive naturals, for example, 126387211 + ... + 126395290.

Almost surely, 21021241304040 is an apocalyptic number.

1021241304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021241304040 is an abundant number, since it is smaller than the sum of its proper divisors (1299302064320).

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

1021241304040 is a wasteful number, since it uses less digits than its factorization.

1021241304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252782613 (or 252782609 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1021241304040 its reverse (404031421201), we get a palindrome (1425272725241).

The spelling of 1021241304040 in words is "one trillion, twenty-one billion, two hundred forty-one million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 252782501 505565002 1011130004 1263912505 2022260008 2527825010 5055650020 10111300040 25531032601 51062065202 102124130404 127655163005 204248260808 255310326010 510620652020 1021241304040