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202133331320 = 235175330718269
BaseRepresentation
bin1011110001000000010…
…1011101110101111000
3201022202000112010220112
42330100011131311320
511302432113100240
6232505254443452
720414023652564
oct2742005356570
9638660463815
10202133331320
11787a6aa5638
1233212063588
13160a42aa3bb
149ad75666a4
1553d08c2665
hex2f1015dd78

202133331320 has 128 divisors (see below), whose sum is σ = 492263956800. Its totient is φ = 74414186496.

The previous prime is 202133331289. The next prime is 202133331341. The reversal of 202133331320 is 23133331202.

202133331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 11055146 + ... + 11073414.

Almost surely, 2202133331320 is an apocalyptic number.

202133331320 is a gapful number since it is divisible by the number (20) 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 202133331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246131978400).

202133331320 is an abundant number, since it is smaller than the sum of its proper divisors (290130625480).

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

202133331320 is a wasteful number, since it uses less digits than its factorization.

202133331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18657 (or 18653 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 202133331320 its reverse (23133331202), we get a palindrome (225266662522).

It can be divided in two parts, 20213 and 3331320, that added together give a palindrome (3351533).

The spelling of 202133331320 in words is "two hundred two billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 307 340 424 530 614 680 901 1060 1228 1535 1802 2120 2456 3070 3604 4505 5219 6140 7208 9010 10438 12280 16271 18020 18269 20876 26095 32542 36040 36538 41752 52190 65084 73076 81355 91345 104380 130168 146152 162710 182690 208760 276607 310573 325420 365380 553214 621146 650840 730760 968257 1106428 1242292 1383035 1552865 1936514 2212856 2484584 2766070 3105730 3873028 4841285 5532140 5608583 6211460 7746056 9682570 11064280 11217166 12422920 16460369 19365140 22434332 28042915 32920738 38730280 44868664 56085830 65841476 82301845 95345911 112171660 131682952 164603690 190691822 224343320 297254899 329207380 381383644 476729555 594509798 658414760 762767288 953459110 1189019596 1486274495 1906918220 2378039192 2972548990 3813836440 5053333283 5945097980 10106666566 11890195960 20213333132 25266666415 40426666264 50533332830 101066665660 202133331320