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2210121032020 = 2251119733721333
BaseRepresentation
bin100000001010010101011…
…110101010000101010100
321211021201010122020022021
4200022111132222011110
5242202311441011040
64411152055542524
7315450600544036
oct40122536520524
97737633566267
102210121032020
11782341783160
122b840508aa44
1313054b669595
1478d82bdbc56
153c754c6b24a
hex202957aa154

2210121032020 has 96 divisors (see below), whose sum is σ = 5336948292480. Its totient is φ = 760341634560.

The previous prime is 2210121032017. The next prime is 2210121032029. The reversal of 2210121032020 is 202301210122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210121031985 and 2210121032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210121032029) 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, 2703274 + ... + 3424606.

It is an arithmetic number, because the mean of its divisors is an integer number (55593211380).

Almost surely, 22210121032020 is an apocalyptic number.

2210121032020 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 2210121032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668474146240).

2210121032020 is an abundant number, since it is smaller than the sum of its proper divisors (3126827260460).

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

2210121032020 is a wasteful number, since it uses less digits than its factorization.

2210121032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722105 (or 722103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2210121032020 its reverse (202301210122), we get a palindrome (2412422242142).

The spelling of 2210121032020 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 733 836 1045 1466 2090 2932 3665 4180 7330 8063 13927 14660 16126 27854 32252 40315 55708 69635 80630 139270 153197 161260 278540 306394 612788 721333 765985 1442666 1531970 2885332 3063940 3606665 7213330 7934663 13705327 14426660 15869326 27410654 31738652 39673315 54821308 68526635 79346630 137053270 150758597 158693260 274106540 301517194 528737089 603034388 753792985 1057474178 1507585970 2114948356 2643685445 3015171940 5287370890 5816107979 10046004691 10574741780 11632215958 20092009382 23264431916 29080539895 40184018764 50230023455 58161079790 100460046910 110506051601 116322159580 200920093820 221012103202 442024206404 552530258005 1105060516010 2210121032020