Search a number
-
+
10212033013 = 73132290207
BaseRepresentation
bin10011000001010111…
…10100000111110101
3222100200202000201221
421200223310013311
5131403240024023
64405155150341
7511030564000
oct114053640765
928320660657
1010212033013
114370476606
121b8bba53b1
13c698c87b0
146cc398537
153eb7e285d
hex260af41f5

10212033013 has 16 divisors (see below), whose sum is σ = 12825164800. Its totient is φ = 8079846768.

The previous prime is 10212033011. The next prime is 10212033017. The reversal of 10212033013 is 31033021201.

10212033013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212033013 - 21 = 10212033011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212033011) 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 15 ways as a sum of consecutive naturals, for example, 1140645 + ... + 1149562.

It is an arithmetic number, because the mean of its divisors is an integer number (801572800).

Almost surely, 210212033013 is an apocalyptic number.

10212033013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10212033013 is a deficient number, since it is larger than the sum of its proper divisors (2613131787).

10212033013 is an equidigital number, since it uses as much as digits as its factorization.

10212033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290241 (or 2290227 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10212033013 its reverse (31033021201), we get a palindrome (41245054214).

The spelling of 10212033013 in words is "ten billion, two hundred twelve million, thirty-three thousand, thirteen".

Divisors: 1 7 13 49 91 343 637 4459 2290207 16031449 29772691 112220143 208408837 785541001 1458861859 10212033013