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202133331192 = 233132343655069
BaseRepresentation
bin1011110001000000010…
…1011101110011111000
3201022202000112010201210
42330100011131303320
511302432113044232
6232505254443120
720414023652322
oct2742005356370
9638660463653
10202133331192
11787a6aa5531
12332120634a0
13160a42aa320
149ad7566612
1553d08c25cc
hex2f1015dcf8

202133331192 has 128 divisors (see below), whose sum is σ = 581073292800. Its totient is φ = 58107151872.

The previous prime is 202133331181. The next prime is 202133331193. The reversal of 202133331192 is 291133331202.

202133331192 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 not an unprimeable number, because it can be changed into a prime (202133331193) 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, 18967 + ... + 636102.

It is an arithmetic number, because the mean of its divisors is an integer number (4539635100).

Almost surely, 2202133331192 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 202133331192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290536646400).

202133331192 is an abundant number, since it is smaller than the sum of its proper divisors (378939961608).

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

202133331192 is a wasteful number, since it uses less digits than its factorization.

202133331192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655157 (or 655153 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 202133331192 its reverse (291133331202), we get a palindrome (493266662394).

The spelling of 202133331192 in words is "two hundred two billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 43 46 52 69 78 86 92 104 129 138 156 172 184 258 276 299 312 344 516 552 559 598 897 989 1032 1118 1196 1677 1794 1978 2236 2392 2967 3354 3588 3956 4472 5934 6708 7176 7912 11868 12857 13416 23736 25714 38571 51428 77142 102856 154284 308568 655069 1310138 1965207 2620276 3930414 5240552 7860828 8515897 15066587 15721656 17031794 25547691 28167967 30133174 34063588 45199761 51095382 56335934 60266348 68127176 84503901 90399522 102190764 112671868 120532696 169007802 180799044 195865631 204381528 225343736 338015604 361598088 366183571 391731262 587596893 647863241 676031208 732367142 783462524 1098550713 1175193786 1295726482 1464734284 1566925048 1943589723 2197101426 2350387572 2591452964 2929468568 3887179446 4394202852 4700775144 5182905928 7774358892 8422222133 8788405704 15548717784 16844444266 25266666399 33688888532 50533332798 67377777064 101066665596 202133331192