Search a number
-
+
1023404032100 = 225247892136989
BaseRepresentation
bin11101110010001111010…
…00100100000001100100
310121211120210020102220202
432321013220210001210
5113231412413011400
62102051220050032
7133636622512532
oct16710750440144
93554523212822
101023404032100
1136502899468a
12146413b33918
1375677c7b648
1437766869152
151b94b2844d5
hexee47a24064

1023404032100 has 36 divisors (see below), whose sum is σ = 2221251515700. Its totient is φ = 409275941760.

The previous prime is 1023404032099. The next prime is 1023404032171. The reversal of 1023404032100 is 12304043201.

It can be written as a sum of positive squares in 6 ways, for example, as 347904147556 + 675499884544 = 589834^2 + 821888^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589595 + ... + 1547394.

Almost surely, 21023404032100 is an apocalyptic number.

1023404032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023404032100 is an abundant number, since it is smaller than the sum of its proper divisors (1197847483600).

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

1023404032100 is a wasteful number, since it uses less digits than its factorization.

1023404032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141792 (or 2141785 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1023404032100 its reverse (12304043201), we get a palindrome (1035708075301).

The spelling of 1023404032100 in words is "one trillion, twenty-three billion, four hundred four million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4789 9578 19156 23945 47890 95780 119725 239450 478900 2136989 4273978 8547956 10684945 21369890 42739780 53424725 106849450 213698900 10234040321 20468080642 40936161284 51170201605 102340403210 204680806420 255851008025 511702016050 1023404032100