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2021222112112 = 24771269944899
BaseRepresentation
bin11101011010011010001…
…110011101101101110000
321011020010102222211212101
4131122122032131231300
5231103430330041422
64144311524310144
7266012524324030
oct35323216355560
97136112884771
102021222112112
1170a217209815
12287887242354
131187a61a6068
146db831bd8c0
153789b1a0c27
hex1d69a39db70

2021222112112 has 80 divisors (see below), whose sum is σ = 4555476288000. Its totient is φ = 850861751040.

The previous prime is 2021222112101. The next prime is 2021222112113. The reversal of 2021222112112 is 2112112221202.

It is a self number, because there is not a number n which added to its sum of digits gives 2021222112112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021222112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666639 + ... + 2611537.

It is an arithmetic number, because the mean of its divisors is an integer number (56943453600).

Almost surely, 22021222112112 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 2021222112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277738144000).

2021222112112 is an abundant number, since it is smaller than the sum of its proper divisors (2534254175888).

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

2021222112112 is a wasteful number, since it uses less digits than its factorization.

2021222112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945254 (or 945248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2021222112112 its reverse (2112112221202), we get a palindrome (4133334333314).

The spelling of 2021222112112 in words is "two trillion, twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 269 284 497 538 568 994 1076 1136 1883 1988 2152 3766 3976 4304 7532 7952 15064 19099 30128 38198 76396 133693 152792 267386 305584 534772 944899 1069544 1889798 2139088 3779596 6614293 7559192 13228586 15118384 26457172 52914344 67087829 105828688 134175658 254177831 268351316 469614803 508355662 536702632 939229606 1016711324 1073405264 1779244817 1878459212 2033422648 3558489634 3756918424 4066845296 7116979268 7513836848 14233958536 18046626001 28467917072 36093252002 72186504004 126326382007 144373008008 252652764014 288746016016 505305528028 1010611056056 2021222112112