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10001054205 = 34524693961
BaseRepresentation
bin10010101000001101…
…11111100111111101
3221210222202012020000
421110012333213331
5130440232213310
64332221144513
7502556362302
oct112406774775
927728665200
1010001054205
11427237505a
121b313bb139
13c34c9926c
146ac3590a9
153d801a4c0
hex2541bf9fd

10001054205 has 20 divisors (see below), whose sum is σ = 17927816412. Its totient is φ = 5333895360.

The previous prime is 10001054201. The next prime is 10001054209. The reversal of 10001054205 is 50245010001.

It is an interprime number because it is at equal distance from previous prime (10001054201) and next prime (10001054209).

It can be written as a sum of positive squares in 2 ways, for example, as 2280444516 + 7720609689 = 47754^2 + 87867^2 .

It is not a de Polignac number, because 10001054205 - 22 = 10001054201 is a prime.

It is a super-2 number, since 2×100010542052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001054201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12346576 + ... + 12347385.

Almost surely, 210001054205 is an apocalyptic number.

10001054205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001054205 is a deficient number, since it is larger than the sum of its proper divisors (7926762207).

10001054205 is an equidigital number, since it uses as much as digits as its factorization.

10001054205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24693978 (or 24693969 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10001054205 its reverse (50245010001), we get a palindrome (60246064206).

The spelling of 10001054205 in words is "ten billion, one million, fifty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 24693961 74081883 123469805 222245649 370409415 666736947 1111228245 2000210841 3333684735 10001054205