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22133102233140 = 223251259899910853
BaseRepresentation
bin1010000100001010000111…
…01100100100011000110100
32220100220101221122101002100
411002011003230210120310
510400112043132430030
6115023450133542100
74443030622602543
oct502050354443064
986326357571070
1022133102233140
117063661224698
1225956631a4930
13c471b134a232
145673681d215a
15285aed212360
hex142143b24634

22133102233140 has 144 divisors (see below), whose sum is σ = 67204060560000. Its totient is φ = 5896273937664.

The previous prime is 22133102233117. The next prime is 22133102233169. The reversal of 22133102233140 is 4133220133122.

22133102233140 is a `hidden beast` number, since 2 + 2 + 13 + 310 + 2 + 2 + 331 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039347954 + ... + 2039358806.

It is an arithmetic number, because the mean of its divisors is an integer number (466694865000).

Almost surely, 222133102233140 is an apocalyptic number.

22133102233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133102233140 is an abundant number, since it is smaller than the sum of its proper divisors (45070958326860).

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

22133102233140 is a wasteful number, since it uses less digits than its factorization.

22133102233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21126 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22133102233140 its reverse (4133220133122), we get a palindrome (26266322366262).

The spelling of 22133102233140 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1259 2518 3777 5036 6295 7554 8999 10853 11331 12590 15108 17998 18885 21706 22662 25180 26997 32559 35996 37770 43412 44995 45324 53994 54265 56655 65118 75540 80991 89990 97677 107988 108530 113310 130236 134985 161982 162795 179980 195354 217060 226620 269970 323964 325590 390708 404955 488385 539940 651180 809910 976770 1619820 1953540 11329741 13663927 22659482 27327854 33989223 40991781 45318964 54655708 56648705 67978446 68319635 81983562 97666147 101967669 113297410 122975343 135956892 136639270 163967124 169946115 195332294 203935338 204958905 226594820 245950686 273278540 292998441 339892230 390664588 407870676 409917810 488330735 491901372 509838345 585996882 614876715 679784460 819835620 878995323 976661470 1019676690 1171993764 1229753430 1464992205 1757990646 1953322940 2039353380 2459506860 2929984410 3515981292 4394976615 5859968820 8789953230 17579906460 122961679073 245923358146 368885037219 491846716292 614808395365 737770074438 1106655111657 1229616790730 1475540148876 1844425186095 2213310223314 2459233581460 3688850372190 4426620446628 5533275558285 7377700744380 11066551116570 22133102233140