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21301230321112 = 23723197782910723
BaseRepresentation
bin1001101011111100101000…
…10001000011110111011000
32210102101012100212202011111
410311332110101003313120
510242444404430233422
6113145352231510104
74325651226165310
oct465762421036730
983371170782144
1021301230321112
11687288a215735
1224803a2b28334
13bb690b25a821
14538db0d8a440
1526e161cd5a77
hex135f94443dd8

21301230321112 has 128 divisors (see below), whose sum is σ = 47882436940800. Its totient is φ = 8685935774208.

The previous prime is 21301230321079. The next prime is 21301230321307. The reversal of 21301230321112 is 21112303210312.

It is a super-2 number, since 2×213012303211122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1986493783 + ... + 1986504505.

It is an arithmetic number, because the mean of its divisors is an integer number (374081538600).

Almost surely, 221301230321112 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 21301230321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941218470400).

21301230321112 is an abundant number, since it is smaller than the sum of its proper divisors (26581206619688).

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

21301230321112 is a wasteful number, since it uses less digits than its factorization.

21301230321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21301230321112 its reverse (21112303210312), we get a palindrome (42413533531424).

The spelling of 21301230321112 in words is "twenty-one trillion, three hundred one billion, two hundred thirty million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 197 322 394 644 788 1288 1379 1576 2758 4531 5516 7829 9062 10723 11032 15658 18124 21446 31316 31717 36248 42892 54803 62632 63434 75061 85784 109606 126868 150122 180067 219212 246629 253736 300244 360134 438424 493258 600488 720268 986516 1260469 1440536 1542313 1726403 1973032 2112431 2520938 3084626 3452806 4224862 5041876 6169252 6905612 8449724 10083752 10796191 12338504 13811224 14787017 16899448 21592382 29574034 35473199 43184764 48585913 59148068 70946398 83950367 86369528 97171826 118296136 141892796 167900734 194343652 248312393 283785592 335801468 340101391 388687304 496624786 587652569 671602936 680202782 993249572 1175305138 1360405564 1930858441 1986499144 2350610276 2720811128 3861716882 4701220552 7723433764 13516009087 15446867528 16538222299 27032018174 33076444598 54064036348 66152889196 108128072696 115767556093 132305778392 231535112186 380379112877 463070224372 760758225754 926140448744 1521516451508 2662653790139 3043032903016 5325307580278 10650615160556 21301230321112