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2022101111112 = 23347139109111821
BaseRepresentation
bin11101011011001110100…
…111100101000101001000
321011022101200222121210220
4131123032213211011020
5231112230341023422
64144535044310040
7266043356564235
oct35331647450510
97138350877726
102022101111112
1170a6283a7775
12287a916a2320
131188b6328804
146dc27c3078c
15378ed42ee5c
hex1d6ce9e5148

2022101111112 has 128 divisors (see below), whose sum is σ = 5205160396800. Its totient is φ = 654290899200.

The previous prime is 2022101111059. The next prime is 2022101111119. The reversal of 2022101111112 is 2111111012202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2022101111091 and 2022101111100.

It is not an unprimeable number, because it can be changed into a prime (2022101111119) 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, 171054162 + ... + 171065982.

It is an arithmetic number, because the mean of its divisors is an integer number (40665315600).

Almost surely, 22022101111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022101111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602580198400).

2022101111112 is an abundant number, since it is smaller than the sum of its proper divisors (3183059285688).

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

2022101111112 is a wasteful number, since it uses less digits than its factorization.

2022101111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2022101111112 its reverse (2111111012202), we get a palindrome (4133212123314).

The spelling of 2022101111112 in words is "two trillion, twenty-two billion, one hundred one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 139 141 188 278 282 376 417 556 564 834 1091 1112 1128 1668 2182 3273 3336 4364 6533 6546 8728 11821 13066 13092 19599 23642 26132 26184 35463 39198 47284 51277 52264 70926 78396 94568 102554 141852 151649 153831 156792 205108 283704 303298 307662 410216 454947 555587 606596 615324 909894 1111174 1213192 1230648 1643119 1666761 1819788 2222348 3286238 3333522 3639576 4444696 4929357 6572476 6667044 7127503 9858714 12896711 13144952 13334088 14255006 19717428 21382509 25793422 28510012 38690133 39434856 42765018 51586844 57020024 77226593 77380266 85530036 103173688 154453186 154760532 171060072 231679779 308906372 309521064 463359558 606145417 617812744 926719116 1212290834 1792642829 1818436251 1853438232 2424581668 3585285658 3636872502 4849163336 5377928487 7170571316 7273745004 10755856974 14341142632 14547490008 21511713948 43023427896 84254212963 168508425926 252762638889 337016851852 505525277778 674033703704 1011050555556 2022101111112