Search a number
-
+
33113210113320 = 233519113128525113
BaseRepresentation
bin1111000011101110001010…
…01000000100110100101000
311100020120222112202122221020
413201313011020010310220
513320011323242111240
6154231555420212440
76655231133624601
oct741670510046450
9140216875678836
1033113210113320
11a607262938557
12386968b09a120
131562740538b8c
1482698b924da8
153c653d3600d0
hex1e1dc5204d28

33113210113320 has 128 divisors (see below), whose sum is σ = 105493413571200. Its totient is φ = 8291412025344.

The previous prime is 33113210113273. The next prime is 33113210113327. The reversal of 33113210113320 is 2331101231133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33113210113327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64004917 + ... + 64520196.

It is an arithmetic number, because the mean of its divisors is an integer number (824167293525).

Almost surely, 233113210113320 is an apocalyptic number.

33113210113320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33113210113320 is an abundant number, since it is smaller than the sum of its proper divisors (72380203457880).

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

33113210113320 is a wasteful number, since it uses less digits than its factorization.

33113210113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128525259 (or 128525255 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 33113210113320 its reverse (2331101231133), we get a palindrome (35444311344453).

The spelling of 33113210113320 in words is "thirty-three trillion, one hundred thirteen billion, two hundred ten million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 113 114 120 152 190 226 228 285 339 380 452 456 565 570 678 760 904 1130 1140 1356 1695 2147 2260 2280 2712 3390 4294 4520 6441 6780 8588 10735 12882 13560 17176 21470 25764 32205 42940 51528 64410 85880 128820 257640 128525113 257050226 385575339 514100452 642625565 771150678 1028200904 1285251130 1542301356 1927876695 2441977147 2570502260 3084602712 3855753390 4883954294 5141004520 7325931441 7711506780 9767908588 12209885735 14523337769 14651862882 15423013560 19535817176 24419771470 29046675538 29303725764 36629657205 43570013307 48839542940 58093351076 58607451528 72616688845 73259314410 87140026614 97679085880 116186702152 145233377690 146518628820 174280053228 217850066535 275943417611 290466755380 293037257640 348560106456 435700133070 551886835222 580933510760 827830252833 871400266140 1103773670444 1379717088055 1655660505666 1742800532280 2207547340888 2759434176110 3311321011332 4139151264165 5518868352220 6622642022664 8278302528330 11037736704440 16556605056660 33113210113320