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1000100500100 = 225213769308077
BaseRepresentation
bin11101000110110101010…
…00101001001010000100
310112121102201112100200222
432203122220221022010
5112341201212000400
62043235000323512
7132153264663152
oct16433250511204
93477381470628
101000100500100
1135615a729129
121419ab773598
1373403055b60
14365959283d2
151b0354b9185
hexe8daa29284

1000100500100 has 36 divisors (see below), whose sum is σ = 2337157940964. Its totient is φ = 369267876480.

The previous prime is 1000100500099. The next prime is 1000100500141. The reversal of 1000100500100 is 10050010001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 133384187524 + 866716312576 = 365218^2 + 930976^2 .

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, 384652739 + ... + 384655338.

Almost surely, 21000100500100 is an apocalyptic number.

1000100500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100500100 is an abundant number, since it is smaller than the sum of its proper divisors (1337057440864).

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

1000100500100 is a wasteful number, since it uses less digits than its factorization.

1000100500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769308104 (or 769308097 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 1000100500100 its reverse (10050010001), we get a palindrome (1010150510101).

The spelling of 1000100500100 in words is "one trillion, one hundred million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 769308077 1538616154 3077232308 3846540385 7693080770 10001005001 15386161540 19232701925 20002010002 38465403850 40004020004 50005025005 76930807700 100010050010 200020100020 250025125025 500050250050 1000100500100