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31133300220 = 223251163124919
BaseRepresentation
bin11100111111101100…
…000111010111111100
32222100201210112000100
4130333230013113330
51002230111101340
622145154401100
72151340454061
oct347754072774
988321715010
1031133300220
1112226a33290
12604a590190
132c22104c49
141714b74c68
15c2338b830
hex73fb075fc

31133300220 has 144 divisors (see below), whose sum is σ = 103190330880. Its totient is φ = 7535203200.

The previous prime is 31133300207. The next prime is 31133300243. The reversal of 31133300220 is 2200333113.

31133300220 is a `hidden beast` number, since 3 + 113 + 330 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31133300193 and 31133300202.

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 47 ways as a sum of consecutive naturals, for example, 1236921 + ... + 1261839.

It is an arithmetic number, because the mean of its divisors is an integer number (716599520).

Almost surely, 231133300220 is an apocalyptic number.

31133300220 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 31133300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51595165440).

31133300220 is an abundant number, since it is smaller than the sum of its proper divisors (72057030660).

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

31133300220 is a wasteful number, since it uses less digits than its factorization.

31133300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25576 (or 25571 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31133300220 its reverse (2200333113), we get a palindrome (33333633333).

The spelling of 31133300220 in words is "thirty-one billion, one hundred thirty-three million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 631 660 990 1262 1893 1980 2524 3155 3786 5679 6310 6941 7572 9465 11358 12620 13882 18930 20823 22716 24919 27764 28395 34705 37860 41646 49838 56790 62469 69410 74757 83292 99676 104115 113580 124595 124938 138820 149514 208230 224271 249190 249876 274109 299028 312345 373785 416460 448542 498380 548218 624690 747570 822327 897084 1096436 1121355 1249380 1370545 1495140 1644654 2242710 2466981 2741090 3289308 4111635 4485420 4933962 5482180 8223270 9867924 12334905 15723889 16446540 24669810 31447778 47171667 49339620 62895556 78619445 94343334 141515001 157238890 172962779 188686668 235858335 283030002 314477780 345925558 471716670 518888337 566060004 691851116 707575005 864813895 943433340 1037776674 1415150010 1556665011 1729627790 2075553348 2594441685 2830300020 3113330022 3459255580 5188883370 6226660044 7783325055 10377766740 15566650110 31133300220