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20001142200 = 23352132564249
BaseRepresentation
bin10010101000001010…
…010011010110111000
31220121220200022001110
4102220022103112320
5311430243022300
613104405520320
71305434621634
oct225012232670
956556608043
1020001142200
11853413a196
123a624130a0
131b699b77b0
14d7a501dc4
157c0de4550
hex4a82935b8

20001142200 has 96 divisors (see below), whose sum is σ = 66773070000. Its totient is φ = 4923356160.

The previous prime is 20001142169. The next prime is 20001142201. The reversal of 20001142200 is 224110002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001142201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274325 + ... + 1289924.

Almost surely, 220001142200 is an apocalyptic number.

20001142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001142200 is an abundant number, since it is smaller than the sum of its proper divisors (46771927800).

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

20001142200 is a wasteful number, since it uses less digits than its factorization.

20001142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564281 (or 2564272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20001142200 its reverse (224110002), we get a palindrome (20225252202).

The spelling of 20001142200 in words is "twenty billion, one million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 2564249 5128498 7692747 10256996 12821245 15385494 20513992 25642490 30770988 33335237 38463735 51284980 61541976 64106225 66670474 76927470 100005711 102569960 128212450 133340948 153854940 166676185 192318675 200011422 256424900 266681896 307709880 333352370 384637350 400022844 500028555 512849800 666704740 769274700 800045688 833380925 1000057110 1333409480 1538549400 1666761850 2000114220 2500142775 3333523700 4000228440 5000285550 6667047400 10000571100 20001142200