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23322330012330 = 23251572696135889
BaseRepresentation
bin1010100110110001001110…
…01100100001101010101010
310001120121000021111222010200
411103120213030201222222
511024103112440343310
6121334044104253030
74624661036126166
oct523304714415252
9101517007458120
1023322330012330
117481a43309858
122748035171176
131002394c6ca8b
145a8b41bbdca6
152a6a023539c0
hex153627321aaa

23322330012330 has 96 divisors (see below), whose sum is σ = 61251153771600. Its totient is φ = 6156700932096.

The previous prime is 23322330012313. The next prime is 23322330012343. The reversal of 23322330012330 is 3321003322332.

23322330012330 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 23 + 300 + 1 + 2 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1230628579569 + 22091701432761 = 1109337^2 + 4700181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23322330012294 and 23322330012303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733026 + ... + 6868914.

Almost surely, 223322330012330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322330012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30625576885800).

23322330012330 is an abundant number, since it is smaller than the sum of its proper divisors (37928823759270).

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

23322330012330 is a wasteful number, since it uses less digits than its factorization.

23322330012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136328 (or 6136325 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23322330012330 its reverse (3321003322332), we get a palindrome (26643333334662).

The spelling of 23322330012330 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thirty million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 269 314 471 538 785 807 942 1345 1413 1570 1614 2355 2421 2690 2826 4035 4710 4842 7065 8070 12105 14130 24210 42233 84466 126699 211165 253398 380097 422330 633495 760194 1266990 1900485 3800970 6135889 12271778 18407667 30679445 36815334 55223001 61358890 92038335 110446002 184076670 276115005 552230010 963334573 1650554141 1926669146 2890003719 3301108282 4816672865 4951662423 5780007438 8252770705 8670011157 9633345730 9903324846 14450018595 14854987269 16505541410 17340022314 24758312115 28900037190 29709974538 43350055785 49516624230 74274936345 86700111570 148549872690 259137000137 518274000274 777411000411 1295685000685 1554822000822 2332233001233 2591370001370 3887055002055 4664466002466 7774110004110 11661165006165 23322330012330