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321312111012 = 223313781126777
BaseRepresentation
bin1001010110011111011…
…00011011100110100100
31010201100210102102221000
410223033230123212210
520231021400023022
6403335253353300
732133261610644
oct4531754334644
91121323372830
10321312111012
111142a4345792
1252332938830
13243b82c1b99
14117a17bc524
15855870d6ac
hex4acfb1b9a4

321312111012 has 96 divisors (see below), whose sum is σ = 840177959040. Its totient is φ = 106187189760.

The previous prime is 321312111011. The next prime is 321312111031. The reversal of 321312111012 is 210111213123.

321312111012 is a `hidden beast` number, since 321 + 31 + 211 + 101 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (321312111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11986168 + ... + 12012944.

It is an arithmetic number, because the mean of its divisors is an integer number (8751853740).

Almost surely, 2321312111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321312111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420088979520).

321312111012 is an abundant number, since it is smaller than the sum of its proper divisors (518865848028).

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

321312111012 is a wasteful number, since it uses less digits than its factorization.

321312111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27738 (or 27730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 321312111012 its reverse (210111213123), we get a palindrome (531423324135).

The spelling of 321312111012 in words is "three hundred twenty-one billion, three hundred twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 811 822 1233 1622 1644 2433 2466 3244 3699 4866 4932 7299 7398 9732 14598 14796 21897 26777 29196 43794 53554 80331 87588 107108 111107 160662 222214 240993 321324 333321 444428 481986 666642 722979 963972 999963 1333284 1445958 1999926 2891916 2999889 3668449 3999852 5999778 7336898 11005347 11999556 14673796 21716147 22010694 33016041 43432294 44021388 65148441 66032082 86864588 99048123 130296882 132064164 195445323 198096246 260593764 390890646 396192492 586335969 781781292 1172671938 2345343876 2975112139 5950224278 8925336417 11900448556 17850672834 26776009251 35701345668 53552018502 80328027753 107104037004 160656055506 321312111012