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20213202133200 = 2435248677346043
BaseRepresentation
bin1001001100010010000001…
…01110111010000011010000
32122120100210210220001020110
410212021000232322003100
510122133114221230300
6110553452235441320
74154232664164066
oct446110056720320
978510723801213
1020213202133200
11649340971331a
1223255545b6240
13b38134827b3b
144dc477884036
15250bd2388550
hex126240bba0d0

20213202133200 has 120 divisors (see below), whose sum is σ = 64751141474208. Its totient is φ = 5390060925440.

The previous prime is 20213202133183. The next prime is 20213202133337. The reversal of 20213202133200 is 233120231202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58239379 + ... + 58585421.

Almost surely, 220213202133200 is an apocalyptic number.

20213202133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213202133200 is an abundant number, since it is smaller than the sum of its proper divisors (44537939341008).

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

20213202133200 is a wasteful number, since it uses less digits than its factorization.

20213202133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394741 (or 394730 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20213202133200 its reverse (233120231202), we get a palindrome (20446322364402).

The spelling of 20213202133200 in words is "twenty trillion, two hundred thirteen billion, two hundred two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 48677 97354 146031 194708 243385 292062 346043 389416 486770 584124 692086 730155 778832 973540 1038129 1168248 1216925 1384172 1460310 1730215 1947080 2076258 2336496 2433850 2768344 2920620 3460430 3650775 3894160 4152516 4867700 5190645 5536688 5841240 6920860 7301550 8305032 8651075 9735400 10381290 11682480 13841720 14603100 16610064 17302150 19470800 20762580 25953225 27683440 29206200 34604300 41525160 51906450 58412400 69208600 83050320 103812900 138417200 207625800 415251600 16844335111 33688670222 50533005333 67377340444 84221675555 101066010666 134754680888 168443351110 202132021332 252665026665 269509361776 336886702220 404264042664 421108377775 505330053330 673773404440 808528085328 842216755550 1010660106660 1263325133325 1347546808880 1684433511100 2021320213320 2526650266650 3368867022200 4042640426640 5053300533300 6737734044400 10106601066600 20213202133200