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201202000020 = 223257580127527
BaseRepresentation
bin1011101101100010010…
…0101110000010010100
3201020100010001121112200
42323120210232002110
511244030203000040
6232233025044500
720351654532150
oct2733044560224
9636303047480
10201202000020
117836931364a
1232bb2186730
1315c86363aa8
149a499b2060
155378c57630
hex2ed892e094

201202000020 has 144 divisors (see below), whose sum is σ = 697645847808. Its totient is φ = 45979430400.

The previous prime is 201202000019. The next prime is 201202000037. The reversal of 201202000020 is 20000202102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201201999966 and 201202000011.

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 47 ways as a sum of consecutive naturals, for example, 7295497 + ... + 7323023.

It is an arithmetic number, because the mean of its divisors is an integer number (4844762832).

Almost surely, 2201202000020 is an apocalyptic number.

201202000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202000020 is an abundant number, since it is smaller than the sum of its proper divisors (496443847788).

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

201202000020 is a wasteful number, since it uses less digits than its factorization.

201202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33350 (or 33345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201202000020 its reverse (20000202102), we get a palindrome (221202202122).

The spelling of 201202000020 in words is "two hundred one billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5801 11602 17403 23204 27527 29005 34806 40607 52209 55054 58010 69612 81214 82581 87015 104418 110108 116020 121821 137635 162428 165162 174030 192689 203035 208836 243642 247743 261045 275270 330324 348060 365463 385378 406070 412905 487284 495486 522090 550540 578067 609105 730926 770756 812140 825810 963445 990972 1044180 1156134 1218210 1238715 1461852 1651620 1734201 1827315 1926890 2312268 2436420 2477430 2890335 3468402 3654630 3853780 4954860 5780670 6936804 7309260 8671005 11561340 17342010 34684020 159684127 319368254 479052381 638736508 798420635 958104762 1117788889 1437157143 1596841270 1916209524 2235577778 2395261905 2874314286 3193682540 3353366667 4471155556 4790523810 5588944445 5748628572 6706733334 7185785715 9581047620 10060100001 11177888890 13413466668 14371571430 16766833335 20120200002 22355777780 28743142860 33533666670 40240400004 50300500005 67067333340 100601000010 201202000020