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222120131020 = 225175636531777
BaseRepresentation
bin1100111011011101100…
…1000011100111001100
3210020022221012202202021
43032313121003213030
512114400223143040
6250012433135524
722022225650624
oct3166731034714
9706287182667
10222120131020
1186223029017
123706b6ba5a4
1317c3b0128b8
14aa71bb3884
155ba03d224a
hex33b76439cc

222120131020 has 96 divisors (see below), whose sum is σ = 495804431808. Its totient is φ = 83298435072.

The previous prime is 222120130957. The next prime is 222120131029. The reversal of 222120131020 is 20131021222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222120130985 and 222120131003.

It is not an unprimeable number, because it can be changed into a prime (222120131029) 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, 124996372 + ... + 124998148.

It is an arithmetic number, because the mean of its divisors is an integer number (5164629498).

Almost surely, 2222120131020 is an apocalyptic number.

222120131020 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 222120131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247902215904).

222120131020 is an abundant number, since it is smaller than the sum of its proper divisors (273684300788).

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

222120131020 is a wasteful number, since it uses less digits than its factorization.

222120131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3017 counting only the distinct ones).

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

Adding to 222120131020 its reverse (20131021222), we get a palindrome (242251152242).

The spelling of 222120131020 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 563 653 1126 1306 1777 2252 2612 2815 3265 3554 5630 6530 7108 8885 9571 11101 11260 13060 17770 19142 22202 30209 35540 38284 44404 47855 55505 60418 95710 111010 120836 151045 191420 222020 302090 367639 604180 735278 1000451 1160381 1470556 1838195 2000902 2320762 3676390 4001804 4641524 5002255 5801905 6249863 7352780 10004510 11603810 12499726 17007667 19726477 20009020 23207620 24999452 31249315 34015334 39452954 62498630 68030668 78905908 85038335 98632385 124997260 170076670 197264770 340153340 394529540 653294503 1306589006 2613178012 3266472515 6532945030 11106006551 13065890060 22212013102 44424026204 55530032755 111060065510 222120131020