Search a number
-
+
10011210309 = 34123595189
BaseRepresentation
bin10010101001011011…
…01111001001000101
3221211200212011210000
421110231233021011
5131000332212214
64333222551513
7503041612032
oct112455571105
927750764700
1010011210309
114278081531
121b34898599
13c37113ba9
146ad840389
153d8d74809
hex254b6f245

10011210309 has 10 divisors (see below), whose sum is σ = 14955017990. Its totient is φ = 6674140152.

The previous prime is 10011210281. The next prime is 10011210317. The reversal of 10011210309 is 90301211001.

10011210309 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6004700100 + 4006510209 = 77490^2 + 63297^2 .

It is not a de Polignac number, because 10011210309 - 212 = 10011206213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011210291 and 10011210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011210709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61797514 + ... + 61797675.

It is an arithmetic number, because the mean of its divisors is an integer number (1495501799).

Almost surely, 210011210309 is an apocalyptic number.

It is an amenable number.

10011210309 is a deficient number, since it is larger than the sum of its proper divisors (4943807681).

10011210309 is an equidigital number, since it uses as much as digits as its factorization.

10011210309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123595201 (or 123595192 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10011210309 in words is "ten billion, eleven million, two hundred ten thousand, three hundred nine".

Divisors: 1 3 9 27 81 123595189 370785567 1112356701 3337070103 10011210309