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22021011120 = 2435461199033
BaseRepresentation
bin10100100000100011…
…011111011010110000
32002211200102021022110
4110200203133122300
5330044334323440
614041042405320
71406462335413
oct244043373260
962750367273
1022021011120
119380317649
124326960840
1320cc2ca6c4
1410cc88db7a
1588d3ce080
hex5208df6b0

22021011120 has 80 divisors (see below), whose sum is σ = 68413558752. Its totient is φ = 5859502080.

The previous prime is 22021011109. The next prime is 22021011137. The reversal of 22021011120 is 2111012022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22021011096 and 22021011105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11124 + ... + 210156.

Almost surely, 222021011120 is an apocalyptic number.

22021011120 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 22021011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34206779376).

22021011120 is an abundant number, since it is smaller than the sum of its proper divisors (46392547632).

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

22021011120 is a wasteful number, since it uses less digits than its factorization.

22021011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199510 (or 199504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22021011120 its reverse (2111012022), we get a palindrome (24132023142).

The spelling of 22021011120 in words is "twenty-two billion, twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 461 922 1383 1844 2305 2766 3688 4610 5532 6915 7376 9220 11064 13830 18440 22128 27660 36880 55320 110640 199033 398066 597099 796132 995165 1194198 1592264 1990330 2388396 2985495 3184528 3980660 4776792 5970990 7961320 9553584 11941980 15922640 23883960 47767920 91754213 183508426 275262639 367016852 458771065 550525278 734033704 917542130 1101050556 1376313195 1468067408 1835084260 2202101112 2752626390 3670168520 4404202224 5505252780 7340337040 11010505560 22021011120