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1004341420100 = 225227736257813
BaseRepresentation
bin11101001110101110110…
…10011110000001000100
310120000101021120102021002
432213113122132001010
5112423342400420400
62045215454112432
7132363342133334
oct16472732360104
93500337512232
101004341420100
11357a36604097
12142793aab718
137392a85b085
1436878c730c4
151b1d297ced5
hexe9d769e044

1004341420100 has 36 divisors (see below), whose sum is σ = 2187288887364. Its totient is φ = 400286244480.

The previous prime is 1004341420099. The next prime is 1004341420111. The reversal of 1004341420100 is 10241434001.

1004341420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 85442797636 + 918898622464 = 292306^2 + 958592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18101207 + ... + 18156606.

It is an arithmetic number, because the mean of its divisors is an integer number (60758024649).

Almost surely, 21004341420100 is an apocalyptic number.

1004341420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004341420100 is an abundant number, since it is smaller than the sum of its proper divisors (1182947467264).

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

1004341420100 is a wasteful number, since it uses less digits than its factorization.

1004341420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36258104 (or 36258097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004341420100 its reverse (10241434001), we get a palindrome (1014582854101).

The spelling of 1004341420100 in words is "one trillion, four billion, three hundred forty-one million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 5540 6925 13850 27700 36257813 72515626 145031252 181289065 362578130 725156260 906445325 1812890650 3625781300 10043414201 20086828402 40173656804 50217071005 100434142010 200868284020 251085355025 502170710050 1004341420100