Search a number
-
+
20123310213 = 322337271011
BaseRepresentation
bin10010101111011100…
…010101100010000101
31220221102120002001200
4102233130111202011
5312203031411323
613124452213113
71311450212616
oct225734254205
956842502050
1020123310213
1185970a1896
123a9730a199
131b890c0466
14d8c823c0d
157cb9c7443
hex4af715885

20123310213 has 36 divisors (see below), whose sum is σ = 31173131808. Its totient is φ = 12485262240.

The previous prime is 20123310211. The next prime is 20123310253. The reversal of 20123310213 is 31201332102.

20123310213 is a `hidden beast` number, since 20 + 123 + 310 + 213 = 666.

It is not a de Polignac number, because 20123310213 - 21 = 20123310211 is a prime.

It is a super-2 number, since 2×201233102132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123310211) 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 35 ways as a sum of consecutive naturals, for example, 247878 + ... + 318888.

It is an arithmetic number, because the mean of its divisors is an integer number (865920328).

Almost surely, 220123310213 is an apocalyptic number.

20123310213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20123310213 is a deficient number, since it is larger than the sum of its proper divisors (11049821595).

20123310213 is a wasteful number, since it uses less digits than its factorization.

20123310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71114 (or 71074 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20123310213 its reverse (31201332102), we get a palindrome (51324642315).

The spelling of 20123310213 in words is "twenty billion, one hundred twenty-three million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 23 37 69 111 207 333 851 1369 2553 4107 7659 12321 31487 71011 94461 213033 283383 639099 1633253 2627407 4899759 7882221 14699277 23646663 60430361 97214059 181291083 291642177 543873249 874926531 2235923357 6707770071 20123310213