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10041301224 = 23321011380817
BaseRepresentation
bin10010101101000001…
…00001100011101000
3221220210110221202100
421112200201203220
5131031033114344
64340215533400
7503555436453
oct112640414350
927823427670
1010041301224
114293064259
121b4298a260
13c4041b376
146b383449a
153db81a569
hex2568218e8

10041301224 has 48 divisors (see below), whose sum is σ = 27464470020. Its totient is φ = 3313958400.

The previous prime is 10041301211. The next prime is 10041301247. The reversal of 10041301224 is 42210314001.

10041301224 is a `hidden beast` number, since 100 + 41 + 301 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7313328324 + 2727972900 = 85518^2 + 52230^2 .

It is a super-2 number, since 2×100413012242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10041301197 and 10041301206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683137 + ... + 697680.

Almost surely, 210041301224 is an apocalyptic number.

It is an amenable number.

10041301224 is an abundant number, since it is smaller than the sum of its proper divisors (17423168796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10041301224 is a wasteful number, since it uses less digits than its factorization.

10041301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380930 (or 1380923 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10041301224 its reverse (42210314001), we get a palindrome (52251615225).

The spelling of 10041301224 in words is "ten billion, forty-one million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 1380817 2761634 4142451 5523268 8284902 11046536 12427353 16569804 24854706 33139608 49709412 99418824 139462517 278925034 418387551 557850068 836775102 1115700136 1255162653 1673550204 2510325306 3347100408 5020650612 10041301224