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321113023 = 72111274691
BaseRepresentation
bin10011001000111…
…100101110111111
3211101020020020221
4103020330232333
51124201104043
651510322211
710646262400
oct2310745677
9741206227
10321113023
11155294a70
128b659367
13516b0a0a
143090b9a7
151d2ce8ed
hex1323cbbf

321113023 has 24 divisors (see below), whose sum is σ = 410793984. Its totient is φ = 248194800.

The previous prime is 321113021. The next prime is 321113063. The reversal of 321113023 is 320311123.

It is not a de Polignac number, because 321113023 - 21 = 321113021 is a prime.

It is a super-3 number, since 3×3211130233 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321112988 and 321113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321113021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66108 + ... + 70798.

It is an arithmetic number, because the mean of its divisors is an integer number (17116416).

Almost surely, 2321113023 is an apocalyptic number.

321113023 is a deficient number, since it is larger than the sum of its proper divisors (89680961).

321113023 is a wasteful number, since it uses less digits than its factorization.

321113023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 321113023 is about 17919.6267539254. The cubic root of 321113023 is about 684.7824787518.

Adding to 321113023 its reverse (320311123), we get a palindrome (641424146).

The spelling of 321113023 in words is "three hundred twenty-one million, one hundred thirteen thousand, twenty-three".

Divisors: 1 7 11 49 77 127 539 889 1397 4691 6223 9779 32837 51601 68453 229859 361207 595757 2528449 4170299 6553327 29192093 45873289 321113023