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213331233333 = 33741271172973
BaseRepresentation
bin1100011010101110001…
…0000100101000110101
3202101122102100111200010
43012223202010220311
511443400243431313
6242000352410433
721261355364331
oct3065342045065
9671572314603
10213331233333
1182522a13109
1235418246a19
131716a20611a
14a47a8307c1
155838a044c3
hex31ab884a35

213331233333 has 32 divisors (see below), whose sum is σ = 300360356352. Its totient is φ = 134503027200.

The previous prime is 213331233301. The next prime is 213331233337. The reversal of 213331233333 is 333332133312.

It is a happy number.

It is not a de Polignac number, because 213331233333 - 25 = 213331233301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213331233333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331233337) 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 31 ways as a sum of consecutive naturals, for example, 1146835 + ... + 1319807.

It is an arithmetic number, because the mean of its divisors is an integer number (9386261136).

Almost surely, 2213331233333 is an apocalyptic number.

It is an amenable number.

213331233333 is a deficient number, since it is larger than the sum of its proper divisors (87029123019).

213331233333 is a wasteful number, since it uses less digits than its factorization.

213331233333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173325.

The product of its digits is 26244, while the sum is 30.

Adding to 213331233333 its reverse (333332133312), we get a palindrome (546663366645).

It can be divided in two parts, 2133312 and 33333, that multiplied together give a square (71109688896 = 2666642).

The spelling of 213331233333 in words is "two hundred thirteen billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 37 41 111 123 271 813 1517 4551 10027 11111 30081 33333 172973 411107 518919 1233321 6400001 7091893 19200003 21275679 46875683 140627049 262400041 787200123 1734400271 1921903003 5203200813 5765709009 71110411111 213331233333