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13057103828 = 2273296915061
BaseRepresentation
bin11000010100100001…
…11001011111010100
31020200222020121012002
430022100321133110
5203220104310303
65555351014432
7641365360046
oct141220713724
936628217162
1013057103828
1155a04383aa
12264496a418
131301176652
148bc191a96
15516481788
hex30a4397d4

13057103828 has 24 divisors (see below), whose sum is σ = 23172284520. Its totient is φ = 6436523520.

The previous prime is 13057103819. The next prime is 13057103833. The reversal of 13057103828 is 82830175031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 614147524 + 12442956304 = 24782^2 + 111548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13057103791 and 13057103800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859418 + ... + 874478.

It is an arithmetic number, because the mean of its divisors is an integer number (965511855).

Almost surely, 213057103828 is an apocalyptic number.

It is an amenable number.

13057103828 is a deficient number, since it is larger than the sum of its proper divisors (10115180692).

13057103828 is a wasteful number, since it uses less digits than its factorization.

13057103828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18107 (or 18105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

Adding to 13057103828 its reverse (82830175031), we get a palindrome (95887278859).

The spelling of 13057103828 in words is "thirteen billion, fifty-seven million, one hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 73 146 292 2969 5938 11876 15061 30122 60244 216737 433474 866948 1099453 2198906 4397812 44716109 89432218 178864436 3264275957 6528551914 13057103828