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10214030313329 = 41966125786429
BaseRepresentation
bin1001010010100010001110…
…1001100000011101110001
31100011110012100000200222012
42110220203221200131301
52314321313230011304
633420132153252305
72102640123112013
oct224504351403561
940143170020865
1010214030313329
113288822918297
12118b66a104095
1359124313b03b
1427450c7381b3
1512aa54ed716e
hex94a23a60771

10214030313329 has 8 divisors (see below), whose sum is σ = 10464236439720. Its totient is φ = 9963875779200.

The previous prime is 10214030313317. The next prime is 10214030313379. The reversal of 10214030313329 is 92331303041201.

It can be written as a sum of positive squares in 4 ways, for example, as 2067441379600 + 8146588933729 = 1437860^2 + 2854223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10214030313329 - 228 = 10213761877873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10214030313295 and 10214030313304.

It is not an unprimeable number, because it can be changed into a prime (10214030313379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12497114 + ... + 13289315.

It is an arithmetic number, because the mean of its divisors is an integer number (1308029554965).

Almost surely, 210214030313329 is an apocalyptic number.

It is an amenable number.

10214030313329 is a deficient number, since it is larger than the sum of its proper divisors (250206126391).

10214030313329 is an equidigital number, since it uses as much as digits as its factorization.

10214030313329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796131.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 10214030313329 in words is "ten trillion, two hundred fourteen billion, thirty million, three hundred thirteen thousand, three hundred twenty-nine".

Divisors: 1 41 9661 396101 25786429 1057243589 249122690569 10214030313329