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2560102041 = 37271449851
BaseRepresentation
bin1001100010011000…
…0000111010011001
320121102021122210010
42120212000322121
520220341231131
61102011512133
7120304336230
oct23046007231
96542248703
102560102041
1110a4124612
125b5458649
1331a5139a3
141a4017b17
15eeb4db46
hex98980e99

2560102041 has 16 divisors (see below), whose sum is σ = 3915511808. Its totient is φ = 1457514000.

The previous prime is 2560102037. The next prime is 2560102067. The reversal of 2560102041 is 1402010652.

It is not a de Polignac number, because 2560102041 - 22 = 2560102037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2560101999 and 2560102017.

It is not an unprimeable number, because it can be changed into a prime (2560102031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 219235 + ... + 230616.

It is an arithmetic number, because the mean of its divisors is an integer number (244719488).

Almost surely, 22560102041 is an apocalyptic number.

2560102041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2560102041 is a deficient number, since it is larger than the sum of its proper divisors (1355409767).

2560102041 is a wasteful number, since it uses less digits than its factorization.

2560102041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450132.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2560102041 is about 50597.4509338168. The cubic root of 2560102041 is about 1367.9989328973.

Adding to 2560102041 its reverse (1402010652), we get a palindrome (3962112693).

The spelling of 2560102041 in words is "two billion, five hundred sixty million, one hundred two thousand, forty-one".

Divisors: 1 3 7 21 271 813 1897 5691 449851 1349553 3148957 9446871 121909621 365728863 853367347 2560102041