Search a number
-
+
21022211200020 = 22355313215004359
BaseRepresentation
bin1001100011110100111010…
…11011100101010000010100
32202102201000001011210120120
410301322131123211100110
510223411442031400040
6112413245343431540
74266542663612052
oct461723533452024
982381001153516
1021022211200020
1167755191a1288
1224362b3bb55b0
13b965030aa684
145296a25011d2
15266c815487d0
hex131e9d6e5414

21022211200020 has 96 divisors (see below), whose sum is σ = 60018210282240. Its totient is φ = 5495986129920.

The previous prime is 21022211200019. The next prime is 21022211200021. The reversal of 21022211200020 is 2000211222012.

It is an interprime number because it is at equal distance from previous prime (21022211200019) and next prime (21022211200021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022211200021) 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, 1698601 + ... + 6702959.

It is an arithmetic number, because the mean of its divisors is an integer number (625189690440).

Almost surely, 221022211200020 is an apocalyptic number.

21022211200020 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 21022211200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30009105141120).

21022211200020 is an abundant number, since it is smaller than the sum of its proper divisors (38995999082220).

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

21022211200020 is a wasteful number, since it uses less digits than its factorization.

21022211200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005745 (or 5005743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21022211200020 its reverse (2000211222012), we get a palindrome (23022422422032).

The spelling of 21022211200020 in words is "twenty-one trillion, twenty-two billion, two hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1321 1590 2642 3180 3963 5284 6605 7926 13210 15852 19815 26420 39630 70013 79260 140026 210039 280052 350065 420078 700130 840156 1050195 1400260 2100390 4200780 5004359 10008718 15013077 20017436 25021795 30026154 50043590 60052308 75065385 100087180 150130770 265231027 300261540 530462054 795693081 1060924108 1326155135 1591386162 2652310270 3182772324 3978465405 5304620540 6610758239 7956930810 13221516478 15913861620 19832274717 26443032956 33053791195 39664549434 66107582390 79329098868 99161373585 132215164780 198322747170 350370186667 396645494340 700740373334 1051110560001 1401480746668 1751850933335 2102221120002 3503701866670 4204442240004 5255552800005 7007403733340 10511105600010 21022211200020