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2022011002112 = 28101262129837
BaseRepresentation
bin11101011011001001001…
…111110101110100000000
321011022011102102121111112
4131123021033311310000
5231112034304031422
64144522105102452
7266041213635623
oct35331117656400
97138142377445
102022011002112
1170a591551522
12287a67487a28
131188a076908a
146dc19c95dba
15378e5580ee2
hex1d6c93f5d00

2022011002112 has 72 divisors (see below), whose sum is σ = 4077776970792. Its totient is φ = 1000580096000.

The previous prime is 2022011002061. The next prime is 2022011002139. The reversal of 2022011002112 is 2112001102202.

It can be written as a sum of positive squares in 4 ways, for example, as 591939429376 + 1430071572736 = 769376^2 + 1195856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67753658 + ... + 67783494.

It is an arithmetic number, because the mean of its divisors is an integer number (56635791261).

Almost surely, 22022011002112 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 2022011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038888485396).

2022011002112 is an abundant number, since it is smaller than the sum of its proper divisors (2055765968680).

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

2022011002112 is a wasteful number, since it uses less digits than its factorization.

2022011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32575 (or 32561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2022011002112 its reverse (2112001102202), we get a palindrome (4134012104314).

The spelling of 2022011002112 in words is "two trillion, twenty-two billion, eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 2621 3232 5242 6464 10484 12928 20968 25856 29837 41936 59674 83872 119348 167744 238696 264721 335488 477392 529442 670976 954784 1058884 1909568 2117768 3013537 3819136 4235536 6027074 7638272 8471072 12054148 16942144 24108296 33884288 48216592 67768576 78202777 96433184 156405554 192866368 312811108 385732736 625622216 771465472 1251244432 2502488864 5004977728 7898480477 10009955456 15796960954 20019910912 31593921908 63187843816 126375687632 252751375264 505502750528 1011005501056 2022011002112