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1000004020100 = 225210000040201
BaseRepresentation
bin11101000110101001110…
…00100110011110000100
310112121011222222200000122
432203110320212132010
5112341002012120400
62043221232401112
7132151013631311
oct16432470463604
93477158880018
101000004020100
11356110221298
121419833a6198
13733b90755b7
1436586bb1d08
151b02bcac685
hexe8d4e26784

1000004020100 has 18 divisors (see below), whose sum is σ = 2170008723834. Its totient is φ = 400001608000.

The previous prime is 1000004020091. The next prime is 1000004020177. The reversal of 1000004020100 is 10204000001.

It can be written as a sum of positive squares in 3 ways, for example, as 105999731776 + 894004288324 = 325576^2 + 945518^2 .

It is a super-2 number, since 2×10000040201002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5000020001 + ... + 5000020200.

It is an arithmetic number, because the mean of its divisors is an integer number (120556040213).

Almost surely, 21000004020100 is an apocalyptic number.

1000004020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000004020100 is an abundant number, since it is smaller than the sum of its proper divisors (1170004703734).

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

1000004020100 is a wasteful number, since it uses less digits than its factorization.

1000004020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000040215 (or 10000040208 counting only the distinct ones).

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

Adding to 1000004020100 its reverse (10204000001), we get a palindrome (1010208020101).

The spelling of 1000004020100 in words is "one trillion, four million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10000040201 20000080402 40000160804 50000201005 100000402010 200000804020 250001005025 500002010050 1000004020100