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21213330002020 = 225132318471920617
BaseRepresentation
bin1001101001011000111001…
…11111111101000001100100
32210002222022102220212202201
410310230130333331001210
510240024344440031040
6113041134054544244
74316420043616402
oct464543477750144
983088272825681
1021213330002020
116839582834a22
122467351368084
13bab5404440b0
14534a32c94472
1526bc19e5ba9a
hex134b1cffd064

21213330002020 has 96 divisors (see below), whose sum is σ = 50087750727168. Its totient is φ = 7488005471232.

The previous prime is 21213330001973. The next prime is 21213330002021. The reversal of 21213330002020 is 2020003331212.

It is a super-4 number, since 4×212133300020204 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21213330002021) 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, 10084752 + ... + 12005368.

It is an arithmetic number, because the mean of its divisors is an integer number (521747403408).

Almost surely, 221213330002020 is an apocalyptic number.

21213330002020 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 21213330002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043875363584).

21213330002020 is an abundant number, since it is smaller than the sum of its proper divisors (28874420725148).

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

21213330002020 is a wasteful number, since it uses less digits than its factorization.

21213330002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922509 (or 1922507 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21213330002020 its reverse (2020003331212), we get a palindrome (23233333333232).

The spelling of 21213330002020 in words is "twenty-one trillion, two hundred thirteen billion, three hundred thirty million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 1847 2990 3694 5980 7388 9235 18470 24011 36940 42481 48022 84962 96044 120055 169924 212405 240110 424810 480220 552253 849620 1104506 1920617 2209012 2761265 3841234 5522530 7682468 9603085 11045060 19206170 24968021 38412340 44174191 49936042 88348382 99872084 124840105 176696764 220870955 249680210 441741910 499360420 574264483 883483820 1148528966 2297057932 2871322415 3547379599 5742644830 7094759198 11485289660 14189518396 17736897995 35473795990 46115934787 70947591980 81589730777 92231869574 163179461554 184463739148 230579673935 326358923108 407948653885 461159347870 815897307770 922318695740 1060666500101 1631794615540 2121333000202 4242666000404 5303332500505 10606665001010 21213330002020