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213024033 = 33311391831
BaseRepresentation
bin11001011001001…
…11110100100001
3112211211202001000
430230213310201
5414013232113
633045502213
75164450215
oct1454476441
9484752030
10213024033
11aa279122
125b411969
1335197431
1420412945
1513a7d373
hexcb27d21

213024033 has 32 divisors (see below), whose sum is σ = 328294400. Its totient is φ = 136371600.

The previous prime is 213024023. The next prime is 213024047. The reversal of 213024033 is 330420312.

213024033 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 213024033 - 28 = 213023777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213023997 and 213024015.

It is not an unprimeable number, because it can be changed into a prime (213024023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115428 + ... + 117258.

It is an arithmetic number, because the mean of its divisors is an integer number (10259200).

Almost surely, 2213024033 is an apocalyptic number.

It is an amenable number.

213024033 is a deficient number, since it is larger than the sum of its proper divisors (115270367).

213024033 is a wasteful number, since it uses less digits than its factorization.

213024033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213024033 is about 14595.3428531159. The cubic root of 213024033 is about 597.2317223745.

Adding to 213024033 its reverse (330420312), we get a palindrome (543444345).

The spelling of 213024033 in words is "two hundred thirteen million, twenty-four thousand, thirty-three".

Divisors: 1 3 9 27 31 93 139 279 417 837 1251 1831 3753 4309 5493 12927 16479 38781 49437 56761 116343 170283 254509 510849 763527 1532547 2290581 6871743 7889779 23669337 71008011 213024033