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1003021320100 = 225227653362717
BaseRepresentation
bin11101001100010001011…
…10101011111110100100
310112212222021120101111111
432212020232223332210
5112413141424220400
62044440455514404
7132315542356312
oct16461056537644
93485867511444
101003021320100
11357419428458
12142485988a04
137377a206307
14367917dd0b2
151b156b1c3ba
hexe988babfa4

1003021320100 has 36 divisors (see below), whose sum is σ = 2176640975124. Its totient is φ = 401192913280.

The previous prime is 1003021320089. The next prime is 1003021320113. The reversal of 1003021320100 is 10231203001.

It can be written as a sum of positive squares in 6 ways, for example, as 109361167204 + 893660152896 = 330698^2 + 945336^2 .

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, 2583942 + ... + 2946658.

It is an arithmetic number, because the mean of its divisors is an integer number (60462249309).

Almost surely, 21003021320100 is an apocalyptic number.

1003021320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003021320100 is an abundant number, since it is smaller than the sum of its proper divisors (1173619655024).

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

1003021320100 is a wasteful number, since it uses less digits than its factorization.

1003021320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390384 (or 390377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1003021320100 its reverse (10231203001), we get a palindrome (1013252523101).

The spelling of 1003021320100 in words is "one trillion, three billion, twenty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 27653 55306 110612 138265 276530 362717 553060 691325 725434 1382650 1450868 1813585 2765300 3627170 7254340 9067925 18135850 36271700 10030213201 20060426402 40120852804 50151066005 100302132010 200604264020 250755330025 501510660050 1003021320100