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22014010242312 = 23311834392288509
BaseRepresentation
bin1010000000101100010010…
…10000101011010100001000
32212221112000020001102000020
411000112021100223110020
510341134143110223222
6114453032515140440
74431313460434314
oct500261120532410
985845006042006
1022014010242312
1170180a8972280
1225765675a4720
13c38bb2301bca
145616ab6ccb44
1528297cd1b65c
hex14058942b508

22014010242312 has 128 divisors (see below), whose sum is σ = 60899997312000. Its totient is φ = 6575524266240.

The previous prime is 22014010242307. The next prime is 22014010242313. The reversal of 22014010242312 is 21324201041022.

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 (22014010242313) 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, 8475114 + ... + 10763622.

It is an arithmetic number, because the mean of its divisors is an integer number (475781229000).

Almost surely, 222014010242312 is an apocalyptic number.

22014010242312 is a gapful number since it is divisible by the number (22) 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 22014010242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30449998656000).

22014010242312 is an abundant number, since it is smaller than the sum of its proper divisors (38885987069688).

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

22014010242312 is a wasteful number, since it uses less digits than its factorization.

22014010242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289051 (or 2289047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22014010242312 its reverse (21324201041022), we get a palindrome (43338211283334).

The spelling of 22014010242312 in words is "twenty-two trillion, fourteen billion, ten million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 439 498 664 878 913 996 1317 1756 1826 1992 2634 2739 3512 3652 4829 5268 5478 7304 9658 10536 10956 14487 19316 21912 28974 36437 38632 57948 72874 109311 115896 145748 218622 291496 400807 437244 801614 874488 1202421 1603228 2288509 2404842 3206456 4577018 4809684 6865527 9154036 9619368 13731054 18308072 25173599 27462108 50347198 54924216 75520797 100694396 151041594 189946247 201388792 302083188 379892494 569838741 604166376 759784988 1004655451 1139677482 1519569976 2009310902 2089408717 2279354964 3013966353 4018621804 4178817434 4558709928 6027932706 6268226151 8037243608 8357634868 11051209961 12055865412 12536452302 16715269736 22102419922 24111730824 25072904604 33153629883 44204839844 50145809208 66307259766 83386402433 88409679688 132614519532 166772804866 250159207299 265229039064 333545609732 500318414598 667091219464 917250426763 1000636829196 1834500853526 2001273658392 2751751280289 3669001707052 5503502560578 7338003414104 11007005121156 22014010242312