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322012101324112 = 241941229112818227
BaseRepresentation
bin100100100110111100100100…
…0111010011010110101010000
31120020011001112000000220101021
41021031321020322122311100
5314201321240414332422
63100510152300445224
7124553415025542253
oct11115711072326520
91506131460026337
10322012101324112
119366a6243a5251
1230148129249814
1310a8a7c309cb14
14597367c7b909a
152736418ca9dc7
hex124de48e9ad50

322012101324112 has 80 divisors (see below), whose sum is σ = 675690931137600. Its totient is φ = 148161919841280.

The previous prime is 322012101324083. The next prime is 322012101324119. The reversal of 322012101324112 is 211423101210223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322012101324119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53554858 + ... + 59263369.

It is an arithmetic number, because the mean of its divisors is an integer number (8446136639220).

Almost surely, 2322012101324112 is an apocalyptic number.

It is an amenable number.

322012101324112 is an abundant number, since it is smaller than the sum of its proper divisors (353678829813488).

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

322012101324112 is a wasteful number, since it uses less digits than its factorization.

322012101324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112818524 (or 112818518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 322012101324112 its reverse (211423101210223), we get a palindrome (533435202534335).

The spelling of 322012101324112 in words is "three hundred twenty-two trillion, twelve billion, one hundred one million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 229 304 328 458 656 779 916 1558 1832 3116 3664 4351 6232 8702 9389 12464 17404 18778 34808 37556 69616 75112 150224 178391 356782 713564 1427128 2854256 112818227 225636454 451272908 902545816 1805091632 2143546313 4287092626 4625547307 8574185252 9251094614 17148370504 18502189228 25835373983 34296741008 37004378456 51670747966 74008756912 87885398833 103341495932 175770797666 206682991864 351541595332 413365983728 490872105677 703083190664 981744211354 1059250333303 1406166381328 1963488422708 2118500666606 3926976845416 4237001333212 7853953690832 8474002666424 16948005332848 20125756332757 40251512665514 80503025331028 161006050662056 322012101324112