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2021321331220 = 2252359145951047
BaseRepresentation
bin11101011010100000001…
…000111101001000010100
321011020101100200200220011
4131122200020331020110
5231104131230044340
64144325431050004
7266015140554412
oct35324010751024
97136340620804
102021321331220
1170a268217584
122878b4510904
131187c09052a9
146db9244a2b2
15378a4c4e0ea
hex1d6a023d214

2021321331220 has 96 divisors (see below), whose sum is σ = 4507579238400. Its totient is φ = 759731094144.

The previous prime is 2021321331181. The next prime is 2021321331229. The reversal of 2021321331220 is 221331231202.

It is a junction number, because it is equal to n+sod(n) for n = 2021321331191 and 2021321331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021321331229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39571737 + ... + 39622783.

It is an arithmetic number, because the mean of its divisors is an integer number (46953950400).

Almost surely, 22021321331220 is an apocalyptic number.

2021321331220 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 2021321331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253789619200).

2021321331220 is an abundant number, since it is smaller than the sum of its proper divisors (2486257907180).

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

2021321331220 is a wasteful number, since it uses less digits than its factorization.

2021321331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52597 (or 52595 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2021321331220 its reverse (221331231202), we get a palindrome (2242652562422).

The spelling of 2021321331220 in words is "two trillion, twenty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 1459 2714 2918 5428 5836 6785 7295 13570 14590 27140 29180 33557 51047 67114 86081 102094 134228 167785 172162 204188 255235 335570 344324 430405 510470 671140 860810 1020940 1174081 1721620 1979863 2348162 3011773 3959726 4696324 5870405 6023546 7919452 9899315 11740810 12047092 15058865 19798630 23481620 30117730 39597260 60235460 69270779 74477573 138541558 148955146 277083116 297910292 346353895 372387865 692707790 744775730 1385415580 1489551460 1712984179 3425968358 4394176807 6851936716 8564920895 8788353614 17129841790 17576707228 21970884035 34259683580 43941768070 87883536140 101066066561 202132133122 404264266244 505330332805 1010660665610 2021321331220