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11222369728290 = 2335721128141051
BaseRepresentation
bin1010001101001110100101…
…0111000111011100100010
31110201211220020112022011000
42203103221113013130202
52432331403122301130
635511252510332430
72235534532531140
oct243235127073442
943654806468130
1011222369728290
113637420166066
121312b78aba116
1363535a067c36
142ab24655c590
15146dbd941260
hexa34e95c7722

11222369728290 has 128 divisors (see below), whose sum is σ = 34363601418240. Its totient is φ = 2552956056000.

The previous prime is 11222369728189. The next prime is 11222369728291. The reversal of 11222369728290 is 9282796322211.

11222369728290 is a `hidden beast` number, since 1 + 1 + 2 + 223 + 69 + 72 + 8 + 290 = 666.

11222369728290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11222369728291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13671736 + ... + 14469315.

It is an arithmetic number, because the mean of its divisors is an integer number (268465636080).

Almost surely, 211222369728290 is an apocalyptic number.

11222369728290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11222369728290 is an abundant number, since it is smaller than the sum of its proper divisors (23141231689950).

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

11222369728290 is a wasteful number, since it uses less digits than its factorization.

11222369728290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28141285 (or 28141279 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 11222369728290 in words is "eleven trillion, two hundred twenty-two billion, three hundred sixty-nine million, seven hundred twenty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 211 270 315 378 422 630 633 945 1055 1266 1477 1890 1899 2110 2954 3165 3798 4431 5697 6330 7385 8862 9495 11394 13293 14770 18990 22155 26586 28485 39879 44310 56970 66465 79758 132930 199395 398790 28141051 56282102 84423153 140705255 168846306 196987357 253269459 281410510 393974714 422115765 506538918 590962071 759808377 844231530 984936785 1181924142 1266347295 1519616754 1772886213 1969873570 2532694590 2954810355 3545772426 3799041885 5318658639 5909620710 5937761761 7598083770 8864431065 10637317278 11875523522 17728862130 17813285283 26593293195 29688808805 35626570566 41564332327 53186586390 53439855849 59377617610 83128664654 89066426415 106879711698 124692996981 160319567547 178132852830 207821661635 249385993962 267199279245 320639135094 374078990943 415643323270 534398558490 623464984905 748157981886 801597837735 1122236972829 1246929969810 1603195675470 1870394954715 2244473945658 3740789909430 5611184864145 11222369728290