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20332101133200 = 2435232251525361
BaseRepresentation
bin1001001111101111011111…
…01010100110001110010000
32122222201201002100001200010
410213313233222212032100
510131110120342230300
6111124234401554520
74165642264050003
oct447675752461620
978881632301603
1020332101133200
11652988303a88a
1223445b7645a40
13b464028a12cc
145041168ab53a
15253d4085ba50
hex127defaa6390

20332101133200 has 120 divisors (see below), whose sum is σ = 65132640761056. Its totient is φ = 5421715200000.

The previous prime is 20332101133129. The next prime is 20332101133217. The reversal of 20332101133200 is 233110123302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38438520 + ... + 38963880.

Almost surely, 220332101133200 is an apocalyptic number.

20332101133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20332101133200 is an abundant number, since it is smaller than the sum of its proper divisors (44800539627856).

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

20332101133200 is a wasteful number, since it uses less digits than its factorization.

20332101133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557633 (or 557622 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20332101133200 its reverse (233110123302), we get a palindrome (20565211256502).

The spelling of 20332101133200 in words is "twenty trillion, three hundred thirty-two billion, one hundred one 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 32251 64502 96753 129004 161255 193506 258008 322510 387012 483765 516016 525361 645020 774024 806275 967530 1050722 1290040 1548048 1576083 1612550 1935060 2101444 2418825 2580080 2626805 3152166 3225100 3870120 4202888 4837650 5253610 6304332 6450200 7740240 7880415 8405776 9675300 10507220 12608664 12900400 13134025 15760830 19350600 21014440 25217328 26268050 31521660 38701200 39402075 42028880 52536100 63043320 78804150 105072200 126086640 157608300 210144400 315216600 630433200 16943417611 33886835222 50830252833 67773670444 84717088055 101660505666 135547340888 169434176110 203321011332 254151264165 271094681776 338868352220 406642022664 423585440275 508302528330 677736704440 813284045328 847170880550 1016605056660 1270756320825 1355473408880 1694341761100 2033210113320 2541512641650 3388683522200 4066420226640 5083025283300 6777367044400 10166050566600 20332101133200