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21122310223220 = 22517831448951659
BaseRepresentation
bin1001100110101111010111…
…10011000011010101110100
32202210021101010011001010012
410303113223303003111310
510232031442404120340
6112531242205115352
74310015352353663
oct463275363032564
982707333131105
1021122310223220
116803a15510a38
12245178ab58b58
13ba2a9627b10b
1453047a77adda
1526968e2e3565
hex1335ebcc3574

21122310223220 has 96 divisors (see below), whose sum is σ = 47536135113600. Its totient is φ = 7855427907584.

The previous prime is 21122310223199. The next prime is 21122310223243. The reversal of 21122310223220 is 2232201322112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408853751 + ... + 408905409.

It is an arithmetic number, because the mean of its divisors is an integer number (495168074100).

Almost surely, 221122310223220 is an apocalyptic number.

21122310223220 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 21122310223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768067556800).

21122310223220 is an abundant number, since it is smaller than the sum of its proper divisors (26413824890380).

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

21122310223220 is a wasteful number, since it uses less digits than its factorization.

21122310223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66257 (or 66255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21122310223220 its reverse (2232201322112), we get a palindrome (23354511545332).

The spelling of 21122310223220 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred ten million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 5644 7055 14110 14489 28220 28978 51659 57956 72445 103318 144890 206636 246313 258295 289780 492626 516590 878203 985252 1033180 1202587 1231565 1756406 2405174 2463130 3512812 4287697 4391015 4810348 4926260 6012935 8575394 8782030 12025870 17150788 17564060 20443979 21438485 24051740 40887958 42876970 72890849 81775916 85753940 102219895 145781698 204439790 291563396 364454245 408879580 728908490 748487251 1457816980 1496974502 2993949004 3742436255 7484872510 12724283267 14969745020 25448566534 50897133068 62124441833 63621416335 124248883666 127242832670 248497767332 254485665340 310622209165 621244418330 1056115511161 1242488836660 2112231022322 4224462044644 5280577555805 10561155111610 21122310223220