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22022321123112 = 23323471993425911
BaseRepresentation
bin1010000000111011110001…
…01000001010111100101000
32212222022110102102220012020
411000131320220022330220
510341303203201414422
6114500525322144440
74432026434652432
oct500357050127450
985868412386166
1022022321123112
117020683176002
1225780a6952120
13c3990808255b
14561c5939d652
15282cb777495c
hex140778a0af28

22022321123112 has 128 divisors (see below), whose sum is σ = 58701440655360. Its totient is φ = 6868749381120.

The previous prime is 22022321123111. The next prime is 22022321123113. The reversal of 22022321123112 is 21132112322022.

22022321123112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22022321123111) and next prime (22022321123113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22022321123111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51493437 + ... + 51919347.

It is an arithmetic number, because the mean of its divisors is an integer number (458605005120).

Almost surely, 222022321123112 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 22022321123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29350720327680).

22022321123112 is an abundant number, since it is smaller than the sum of its proper divisors (36679119532248).

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

22022321123112 is a wasteful number, since it uses less digits than its factorization.

22022321123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427983 (or 427979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22022321123112 its reverse (21132112322022), we get a palindrome (43154433445134).

The spelling of 22022321123112 in words is "twenty-two trillion, twenty-two billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 184 188 276 282 376 552 564 1081 1128 1993 2162 3243 3986 4324 5979 6486 7972 8648 11958 12972 15944 23916 25944 45839 47832 91678 93671 137517 183356 187342 275034 281013 366712 374684 425911 550068 562026 749368 851822 1100136 1124052 1277733 1703644 2154433 2248104 2555466 3407288 4308866 5110932 6463299 8617732 9795953 10221864 12926598 17235464 19591906 20017817 25853196 29387859 39183812 40035634 51706392 58775718 60053451 78367624 80071268 117551436 120106902 160142536 235102872 240213804 460409791 480427608 848840623 920819582 1381229373 1697681246 1841639164 2546521869 2762458746 3395362492 3683278328 5093043738 5524917492 6790724984 10186087476 11049834984 19523334329 20372174952 39046668658 39895509281 58570002987 78093337316 79791018562 117140005974 119686527843 156186674632 159582037124 234280011948 239373055686 319164074248 468560023896 478746111372 917596713463 957492222744 1835193426926 2752790140389 3670386853852 5505580280778 7340773707704 11011160561556 22022321123112