Search a number
-
+
10510104649821 = 3722112063164251
BaseRepresentation
bin1001100011110001001100…
…0011011110000001011101
31101012202102021010100202120
42120330103003132001131
52334144143242243241
634204135254013153
72133221122335300
oct230742303360135
941182367110676
1010510104649821
113392346093487
121218b189471b9
135b313887481a
14284998356b37
151335d2c06666
hex98f130de05d

10510104649821 has 48 divisors (see below), whose sum is σ = 16386683563008. Its totient is φ = 5974376940000.

The previous prime is 10510104649819. The next prime is 10510104649829. The reversal of 10510104649821 is 12894640101501.

It is not a de Polignac number, because 10510104649821 - 21 = 10510104649819 is a prime.

It is a super-2 number, since 2×105101046498212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510104649829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63905946 + ... + 64070196.

It is an arithmetic number, because the mean of its divisors is an integer number (341389240896).

Almost surely, 210510104649821 is an apocalyptic number.

It is an amenable number.

10510104649821 is a deficient number, since it is larger than the sum of its proper divisors (5876578913187).

10510104649821 is a wasteful number, since it uses less digits than its factorization.

10510104649821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166542 (or 166535 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10510104649821 in words is "ten trillion, five hundred ten billion, one hundred four million, six hundred forty-nine thousand, eight hundred twenty-one".

Divisors: 1 3 7 21 49 147 211 633 1477 2063 4431 6189 10339 14441 31017 43323 101087 164251 303261 435293 492753 1149757 1305879 3047051 3449271 8048299 9141153 21329357 24144897 34656961 63988071 103970883 242598727 338849813 727796181 1016549439 1698191089 2371948691 5094573267 7115846073 16603640837 49810922511 71497310543 214491931629 500481173801 1501443521403 3503368216607 10510104649821