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10206424220525 = 5213217277513001
BaseRepresentation
bin1001010010000101111001…
…0010100100001101101101
31100010201120020211011011022
42110201132102210031231
52314210224100024100
633412433324303525
72102250464306231
oct224413622441555
940121506734138
1010206424220525
11328557a434185
12118a0a69a1ba5
135906003b5200
14273dca4ca5c1
1512a75c399e85
hex9485e4a436d

10206424220525 has 72 divisors (see below), whose sum is σ = 14562942771384. Its totient is φ = 7068072960000.

The previous prime is 10206424220519. The next prime is 10206424220563. The reversal of 10206424220525 is 52502242460201.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 8067980095561 + 2138444124964 = 2840419^2 + 1462342^2 .

It is not a de Polignac number, because 10206424220525 - 28 = 10206424220269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19639025 + ... + 20152025.

It is an arithmetic number, because the mean of its divisors is an integer number (202263094047).

Almost surely, 210206424220525 is an apocalyptic number.

It is an amenable number.

10206424220525 is a deficient number, since it is larger than the sum of its proper divisors (4356518550859).

10206424220525 is a wasteful number, since it uses less digits than its factorization.

10206424220525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513331 (or 513313 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10206424220525 its reverse (52502242460201), we get a palindrome (62708666680726).

The spelling of 10206424220525 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, two hundred twenty thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 277 325 425 845 1105 1385 2873 3601 4225 4709 5525 6925 14365 18005 23545 46813 61217 71825 90025 117725 234065 306085 513001 795821 1170325 1530425 2565005 3979105 6669013 8721017 12825025 19895525 33345065 43605085 86697169 113373221 142101277 166725325 218025425 433485845 566866105 710506385 1473851873 1847316601 2167429225 2415721709 2834330525 3552531925 7369259365 9236583005 12078608545 24015115813 31404382217 36846296825 46182915025 60393042725 120075579065 157021911085 408256968821 600377895325 785109555425 2041284844105 10206424220525