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321113124 = 22328919809
BaseRepresentation
bin10011001000111…
…100110000100100
3211101020020101200
4103020330300210
51124201104444
651510322500
710646262603
oct2310746044
9741206350
10321113124
11155295052
128b659430
13516b0a87
143090ba3a
151d2ce969
hex1323cc24

321113124 has 18 divisors (see below), whose sum is σ = 811702710. Its totient is φ = 107037696.

The previous prime is 321113123. The next prime is 321113137. The reversal of 321113124 is 421311123.

It can be written as a sum of positive squares in only one way, i.e., 317980224 + 3132900 = 17832^2 + 1770^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×3211131243 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321113097 and 321113106.

It is not an unprimeable number, because it can be changed into a prime (321113123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4459869 + ... + 4459940.

It is an arithmetic number, because the mean of its divisors is an integer number (45094595).

Almost surely, 2321113124 is an apocalyptic number.

It is an amenable number.

321113124 is an abundant number, since it is smaller than the sum of its proper divisors (490589586).

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

321113124 is a wasteful number, since it uses less digits than its factorization.

321113124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919819 (or 8919814 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 321113124 is about 17919.6295720643. The cubic root of 321113124 is about 684.7825505469.

Adding to 321113124 its reverse (421311123), we get a palindrome (742424247).

The spelling of 321113124 in words is "three hundred twenty-one million, one hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8919809 17839618 26759427 35679236 53518854 80278281 107037708 160556562 321113124