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10037313821 is a prime number
BaseRepresentation
bin10010101100100010…
…10100000100011101
3221220111222101001202
421112101110010131
5131024023020241
64335554245245
7503506521413
oct112621240435
927814871052
1010037313821
114290890487
121b41586825
13c3c653462
146b30b72b3
153db2cdd9b
hex25645411d

10037313821 has 2 divisors, whose sum is σ = 10037313822. Its totient is φ = 10037313820.

The previous prime is 10037313779. The next prime is 10037313887. The reversal of 10037313821 is 12831373001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9492604900 + 544708921 = 97430^2 + 23339^2 .

It is an emirp because it is prime and its reverse (12831373001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10037313821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10037313721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018656910 + 5018656911.

It is an arithmetic number, because the mean of its divisors is an integer number (5018656911).

Almost surely, 210037313821 is an apocalyptic number.

It is an amenable number.

10037313821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037313821 is an equidigital number, since it uses as much as digits as its factorization.

10037313821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 10037313821 its reverse (12831373001), we get a palindrome (22868686822).

The spelling of 10037313821 in words is "ten billion, thirty-seven million, three hundred thirteen thousand, eight hundred twenty-one".