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10010200005 = 32513143311941
BaseRepresentation
bin10010101001010011…
…11000011111000101
3221211121221211220100
421110221320133011
5131000102400010
64333145154313
7503030203401
oct112451703705
927747854810
1010010200005
114277551473
121b3448b999
13c36b4c090
146ad65a101
153d8c252c0
hex254a787c5

10010200005 has 48 divisors (see below), whose sum is σ = 18700312176. Its totient is φ = 4924247040.

The previous prime is 10010200003. The next prime is 10010200009. The reversal of 10010200005 is 50000201001.

It is a happy number.

10010200005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 437730084 + 9572469921 = 20922^2 + 97839^2 .

It is not a de Polignac number, because 10010200005 - 21 = 10010200003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 10010200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010200003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 832335 + ... + 844275.

It is an arithmetic number, because the mean of its divisors is an integer number (389589837).

Almost surely, 210010200005 is an apocalyptic number.

10010200005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10010200005 is a deficient number, since it is larger than the sum of its proper divisors (8690112171).

10010200005 is a wasteful number, since it uses less digits than its factorization.

10010200005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 10010200005 its reverse (50000201001), we get a palindrome (60010401006).

The spelling of 10010200005 in words is "ten billion, ten million, two hundred thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1433 4299 7165 11941 12897 18629 21495 35823 55887 59705 64485 93145 107469 155233 167661 179115 279435 465699 537345 776165 838305 1397097 2328495 6985485 17111453 51334359 85557265 154003077 222448889 256671795 667346667 770015385 1112244445 2002040001 3336733335 10010200005