Search a number
-
+
33012212243100 = 223521938471505489
BaseRepresentation
bin1111000000110010000010…
…01011110001101010011100
311022212221021211110021002020
413200121001023301222130
513311333002313234400
6154113333445300140
76645024252115506
oct740310113615234
9138787254407066
1033012212243100
11a578445203822
123851ba3104650
1315560660867ac
14821b2a14cd76
153c3acb7152a0
hex1e06412f1a9c

33012212243100 has 144 divisors (see below), whose sum is σ = 100568659027200. Its totient is φ = 8337753861120.

The previous prime is 33012212243099. The next prime is 33012212243111. The reversal of 33012212243100 is 134221221033.

It is a super-2 number, since 2×330122122431002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 21175156 + ... + 22680644.

Almost surely, 233012212243100 is an apocalyptic number.

33012212243100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012212243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50284329513600).

33012212243100 is an abundant number, since it is smaller than the sum of its proper divisors (67556446784100).

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

33012212243100 is a wasteful number, since it uses less digits than its factorization.

33012212243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509372 (or 1509365 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33012212243100 its reverse (134221221033), we get a palindrome (33146433464133).

The spelling of 33012212243100 in words is "thirty-three trillion, twelve billion, two hundred twelve million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 3847 5700 7694 11541 15388 19235 23082 38470 46164 57705 73093 76940 96175 115410 146186 192350 219279 230820 288525 292372 365465 384700 438558 577050 730930 877116 1096395 1154100 1461860 1505489 1827325 2192790 3010978 3654650 4385580 4516467 5481975 6021956 7309300 7527445 9032934 10963950 15054890 18065868 21927900 22582335 28604291 30109780 37637225 45164670 57208582 75274450 85812873 90329340 112911675 114417164 143021455 150548900 171625746 225823350 286042910 343251492 429064365 451646700 572085820 715107275 858128730 1430214550 1716257460 2145321825 2860429100 4290643650 5791616183 8581287300 11583232366 17374848549 23166464732 28958080915 34749697098 57916161830 69499394196 86874242745 110040707477 115832323660 144790404575 173748485490 220081414954 289580809150 330122122431 347496970980 434371213725 440162829908 550203537385 579161618300 660244244862 868742427450 1100407074770 1320488489724 1650610612155 1737484854900 2200814149540 2751017686925 3301221224310 5502035373850 6602442448620 8253053060775 11004070747700 16506106121550 33012212243100