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213043311234 = 232136163147727
BaseRepresentation
bin1100011001101001011…
…1101111001010000010
3202100220100120112210200
43012122113233022002
511442303041424414
6241512025310030
721251261160315
oct3063227571202
9670810515720
10213043311234
1182395438a66
1235357935316
1317122676910
14a4504c297c
15581d5ce109
hex319a5ef282

213043311234 has 48 divisors (see below), whose sum is σ = 497185084032. Its totient is φ = 65540708064.

The previous prime is 213043311227. The next prime is 213043311241. The reversal of 213043311234 is 432113340312.

It is a happy number.

213043311234 is a `hidden beast` number, since 2 + 1 + 304 + 331 + 1 + 23 + 4 = 666.

213043311234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213043311227) and next prime (213043311241).

It is a junction number, because it is equal to n+sod(n) for n = 213043311198 and 213043311207.

It is an unprimeable number.

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, 1368279 + ... + 1516005.

It is an arithmetic number, because the mean of its divisors is an integer number (10358022584).

Almost surely, 2213043311234 is an apocalyptic number.

213043311234 is an abundant number, since it is smaller than the sum of its proper divisors (284141772798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213043311234 is a wasteful number, since it uses less digits than its factorization.

213043311234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153911 (or 153908 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213043311234 its reverse (432113340312), we get a palindrome (645156651546).

The spelling of 213043311234 in words is "two hundred thirteen billion, forty-three million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6163 12326 18489 36978 55467 80119 110934 147727 160238 240357 295454 443181 480714 721071 886362 1329543 1442142 1920451 2659086 3840902 5761353 11522706 17284059 34568118 910441501 1820883002 2731324503 5462649006 8193973509 11835739513 16387947018 23671479026 35507218539 71014437078 106521655617 213043311234