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23020414011 = 327643568279
BaseRepresentation
bin10101011100000111…
…111010010000111011
32012102022222012100100
4111130013322100323
5334121211222021
614324143210443
71443316201440
oct253407722073
965368865310
1023020414011
119843472851
1245655a6a23
13222b388b6a
1411854c39c7
158eaee3626
hex55c1fa43b

23020414011 has 24 divisors (see below), whose sum is σ = 38061121280. Its totient is φ = 13134041136.

The previous prime is 23020413953. The next prime is 23020414013. The reversal of 23020414011 is 11041402032.

23020414011 is a `hidden beast` number, since 230 + 20 + 414 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 23020414011 - 26 = 23020413947 is a prime.

It is a super-2 number, since 2×230204140112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23020414013) 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 23 ways as a sum of consecutive naturals, for example, 243631 + ... + 324648.

Almost surely, 223020414011 is an apocalyptic number.

23020414011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23020414011 is a deficient number, since it is larger than the sum of its proper divisors (15040707269).

23020414011 is a wasteful number, since it uses less digits than its factorization.

23020414011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568935 (or 568932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23020414011 its reverse (11041402032), we get a palindrome (34061816043).

The spelling of 23020414011 in words is "twenty-three billion, twenty million, four hundred fourteen thousand, eleven".

Divisors: 1 3 7 9 21 63 643 1929 4501 5787 13503 40509 568279 1704837 3977953 5114511 11933859 35801577 365403397 1096210191 2557823779 3288630573 7673471337 23020414011