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20210033000 = 2353173197593
BaseRepresentation
bin10010110100100111…
…001010000101101000
31221011110202001100202
4102310213022011220
5312342232024000
613141231051332
71313552306003
oct226447120550
957143661322
1020210033000
118631044a13
123b00370b48
131ba1065811
14d9a15a53a
157d4407dd5
hex4b49ca168

20210033000 has 128 divisors (see below), whose sum is σ = 47886901920. Its totient is φ = 7983001600.

The previous prime is 20210032963. The next prime is 20210033029. The reversal of 20210033000 is 33001202.

It can be written as a sum of positive squares in 16 ways, for example, as 3160463524 + 17049569476 = 56218^2 + 130574^2 .

It is a super-2 number, since 2×202100330002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34080704 + ... + 34081296.

Almost surely, 220210033000 is an apocalyptic number.

20210033000 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 20210033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943450960).

20210033000 is an abundant number, since it is smaller than the sum of its proper divisors (27676868920).

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

20210033000 is a wasteful number, since it uses less digits than its factorization.

20210033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 20210033000 its reverse (33001202), we get a palindrome (20243034202).

The spelling of 20210033000 in words is "twenty billion, two hundred ten million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 197 200 250 346 394 500 593 692 788 865 985 1000 1186 1384 1576 1730 1970 2372 2965 3460 3940 4325 4744 4925 5930 6920 7880 8650 9850 11860 14825 17300 19700 21625 23720 24625 29650 34081 34600 39400 43250 49250 59300 68162 74125 86500 98500 102589 116821 118600 136324 148250 170405 173000 197000 205178 233642 272648 296500 340810 410356 467284 512945 584105 593000 681620 820712 852025 934568 1025890 1168210 1363240 1704050 2051780 2336420 2564725 2920525 3408100 4103560 4260125 4672840 5129450 5841050 6816200 8520250 10258900 11682100 12823625 14602625 17040500 20210033 20517800 23364200 25647250 29205250 34081000 40420066 51294500 58410500 80840132 101050165 102589000 116821000 161680264 202100330 404200660 505250825 808401320 1010501650 2021003300 2526254125 4042006600 5052508250 10105016500 20210033000