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1002323404100 = 225210199239941
BaseRepresentation
bin11101001010111110010…
…00010110010101000100
310112211011122022120201202
432211133020112111010
5112410224242412400
62044243325042032
7132262336234634
oct16453710262504
93484148276652
101002323404100
113570a0481877
121423100b6318
1373698746675
1436726c486c4
151b11570c4d5
hexe95f216544

1002323404100 has 36 divisors (see below), whose sum is σ = 2196576876228. Its totient is φ = 396959760000.

The previous prime is 1002323404091. The next prime is 1002323404109. The reversal of 1002323404100 is 14043232001.

It is an interprime number because it is at equal distance from previous prime (1002323404091) and next prime (1002323404109).

It can be written as a sum of positive squares in 6 ways, for example, as 136414990336 + 865908413764 = 369344^2 + 930542^2 .

It is a super-2 number, since 2×10023234041002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1002323404109) by changing a digit.

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, 49609871 + ... + 49630070.

Almost surely, 21002323404100 is an apocalyptic number.

1002323404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002323404100 is an abundant number, since it is smaller than the sum of its proper divisors (1194253472128).

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

1002323404100 is a wasteful number, since it uses less digits than its factorization.

1002323404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99240056 (or 99240049 counting only the distinct ones).

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

Adding to 1002323404100 its reverse (14043232001), we get a palindrome (1016366636101).

The spelling of 1002323404100 in words is "one trillion, two billion, three hundred twenty-three million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 99239941 198479882 396959764 496199705 992399410 1984798820 2480998525 4961997050 9923994100 10023234041 20046468082 40092936164 50116170205 100232340410 200464680820 250580851025 501161702050 1002323404100