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323213020001109 = 32737138658524239
BaseRepresentation
bin100100101111101011110010…
…1001111100111001101010101
31120101101212022002101122021200
41021133113211033213031111
5314331010231110013414
63103230002255503113
7125036240641063020
oct11137274517471525
91511355262348250
10323213020001109
1193a9296570aa27
1230300a22527a99
1310b46b1aac0384
1459b5844d221b7
1527577a4461109
hex125f5e53e7355

323213020001109 has 24 divisors (see below), whose sum is σ = 547978487796480. Its totient is φ = 179701447412448.

The previous prime is 323213020001089. The next prime is 323213020001143. The reversal of 323213020001109 is 901100020312323.

323213020001109 is a `hidden beast` number, since 3 + 2 + 321 + 30 + 200 + 0 + 1 + 109 = 666.

It is not a de Polignac number, because 323213020001109 - 25 = 323213020001077 is a prime.

It is a super-3 number, since 3×3232130200011093 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323213020001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69329259789 + ... + 69329264450.

It is an arithmetic number, because the mean of its divisors is an integer number (22832436991520).

Almost surely, 2323213020001109 is an apocalyptic number.

It is an amenable number.

323213020001109 is a deficient number, since it is larger than the sum of its proper divisors (224765467795371).

323213020001109 is a wasteful number, since it uses less digits than its factorization.

323213020001109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138658524289 (or 138658524286 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 323213020001109 in words is "three hundred twenty-three trillion, two hundred thirteen billion, twenty million, one thousand, one hundred nine".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 138658524239 415975572717 970609669673 1247926718151 2911829009019 5130365396843 8735487027057 15391096190529 35912557777901 46173288571587 107737673333703 323213020001109