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10010034437 = 132161336721
BaseRepresentation
bin10010101001010010…
…10000000100000101
3221211121122102210012
421110221100010011
5131000032100222
64333141440005
7503025613604
oct112451200405
927747572705
1010010034437
114277449037
121b34410005
13c36ac1900
146ad615a3b
153d8be11e2
hex254a50105

10010034437 has 12 divisors (see below), whose sum is σ = 10846283364. Its totient is φ = 9234051840.

The previous prime is 10010034409. The next prime is 10010034439. The reversal of 10010034437 is 73443001001.

It can be written as a sum of positive squares in 6 ways, for example, as 4317935521 + 5692098916 = 65711^2 + 75446^2 .

It is not a de Polignac number, because 10010034437 - 210 = 10010033413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010034439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254237 + ... + 290957.

It is an arithmetic number, because the mean of its divisors is an integer number (903856947).

Almost surely, 210010034437 is an apocalyptic number.

It is an amenable number.

10010034437 is a deficient number, since it is larger than the sum of its proper divisors (836248927).

10010034437 is a wasteful number, since it uses less digits than its factorization.

10010034437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38360 (or 38347 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 10010034437 its reverse (73443001001), we get a palindrome (83453035438).

The spelling of 10010034437 in words is "ten billion, ten million, thirty-four thousand, four hundred thirty-seven".

Divisors: 1 13 169 1613 20969 36721 272597 477373 6205849 59230973 770002649 10010034437