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332000331332020 = 2251312738332623147
BaseRepresentation
bin100101101111100111101100…
…1110100000111100110110100
31121112111220212220221121101121
41023133033121310013212310
5322003443134310111040
63134034502514033324
7126634142465021041
oct11337173164074664
91545456786847347
10332000331332020
1196870605895a7a
123129ba7b278844
131133365c926580
145bdac8a6801c8
15285b155762c4a
hex12df3d9d079b4

332000331332020 has 96 divisors (see below), whose sum is σ = 756941294850048. Its totient is φ = 121587727629312.

The previous prime is 332000331331993. The next prime is 332000331332023. The reversal of 332000331332020 is 20233133000233.

It is a super-3 number, since 3×3320003313320203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332000331332023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125254087 + ... + 127877233.

It is an arithmetic number, because the mean of its divisors is an integer number (7884805154688).

Almost surely, 2332000331332020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332000331332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378470647425024).

332000331332020 is an abundant number, since it is smaller than the sum of its proper divisors (424940963518028).

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

332000331332020 is a wasteful number, since it uses less digits than its factorization.

332000331332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627129 (or 2627127 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 332000331332020 its reverse (20233133000233), we get a palindrome (352233464332253).

The spelling of 332000331332020 in words is "three hundred thirty-two trillion, three hundred thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 3833 6604 7666 8255 15332 16510 19165 33020 38330 49829 76660 99658 199316 249145 486791 498290 973582 996580 1947164 2433955 2623147 4867910 5246294 6328283 9735820 10492588 12656566 13115735 25313132 26231470 31641415 34100911 52462940 63282830 68201822 126565660 136403644 170504555 333139669 341009110 666279338 682018220 1332558676 1665698345 3331396690 4330815697 6662793380 8661631394 10054522451 17323262788 20109044902 21654078485 40218089804 43308156970 50272612255 86616313940 100545224510 130708791863 201090449020 261417583726 522835167452 653543959315 1276924351277 1307087918630 2553848702554 2614175837260 5107697405108 6384621756385 12769243512770 16600016566601 25538487025540 33200033133202 66400066266404 83000082833005 166000165666010 332000331332020