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33230111000 = 2353731014507
BaseRepresentation
bin11110111100101010…
…110100000100011000
310011202212022112122212
4132330222310010120
51021023402023000
623133220334252
72254321166042
oct367452640430
9104685275585
1033230111000
1113102593259
126534844388
133197647298
141873430a92
15ce74c3c35
hex7bcab4118

33230111000 has 128 divisors (see below), whose sum is σ = 79621738560. Its totient is φ = 12977280000.

The previous prime is 33230110999. The next prime is 33230111003. The reversal of 33230111000 is 11103233.

It is a super-3 number, since 3×332301110003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7370747 + ... + 7375253.

Almost surely, 233230111000 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 33230111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39810869280).

33230111000 is an abundant number, since it is smaller than the sum of its proper divisors (46391627560).

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

33230111000 is a wasteful number, since it uses less digits than its factorization.

33230111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 33230111000 its reverse (11103233), we get a palindrome (33241214233).

The spelling of 33230111000 in words is "thirty-three billion, two hundred thirty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 101 125 146 200 202 250 292 365 404 500 505 584 730 808 1000 1010 1460 1825 2020 2525 2920 3650 4040 4507 5050 7300 7373 9014 9125 10100 12625 14600 14746 18028 18250 20200 22535 25250 29492 36056 36500 36865 45070 50500 58984 73000 73730 90140 101000 112675 147460 180280 184325 225350 294920 329011 368650 450700 455207 563375 658022 737300 901400 910414 921625 1126750 1316044 1474600 1645055 1820828 1843250 2253500 2276035 2632088 3290110 3641656 3686500 4507000 4552070 6580220 7373000 8225275 9104140 11380175 13160440 16450550 18208280 22760350 32901100 33230111 41126375 45520700 56900875 65802200 66460222 82252750 91041400 113801750 132920444 164505500 166150555 227603500 265840888 329011000 332301110 455207000 664602220 830752775 1329204440 1661505550 3323011100 4153763875 6646022200 8307527750 16615055500 33230111000