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11302221330 = 2335292116841
BaseRepresentation
bin10101000011010101…
…00011011000010010
31002011200010022222000
422201222203120102
5141121332040310
65105301454430
7550036203411
oct124152433022
932150108860
1011302221330
11487a89a194
122235111416
1310b172253a
147930a1478
1546238b4c0
hex2a1aa3612

11302221330 has 128 divisors (see below), whose sum is σ = 31330886400. Its totient is φ = 2895782400.

The previous prime is 11302221323. The next prime is 11302221349. The reversal of 11302221330 is 3312220311.

11302221330 is a `hidden beast` number, since 11 + 302 + 2 + 21 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1648710 + ... + 1655550.

It is an arithmetic number, because the mean of its divisors is an integer number (244772550).

Almost surely, 211302221330 is an apocalyptic number.

11302221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11302221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665443200).

11302221330 is an abundant number, since it is smaller than the sum of its proper divisors (20028665070).

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

11302221330 is a wasteful number, since it uses less digits than its factorization.

11302221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11302221330 its reverse (3312220311), we get a palindrome (14614441641).

The spelling of 11302221330 in words is "eleven billion, three hundred two million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 211 261 270 290 422 435 522 633 783 870 1055 1266 1305 1566 1899 2110 2610 3165 3798 3915 5697 6119 6330 6841 7830 9495 11394 12238 13682 18357 18990 20523 28485 30595 34205 36714 41046 55071 56970 61190 61569 68410 91785 102615 110142 123138 165213 183570 184707 198389 205230 275355 307845 330426 369414 396778 550710 595167 615690 826065 923535 991945 1190334 1443451 1652130 1785501 1847070 1983890 2886902 2975835 3571002 4330353 5356503 5951670 7217255 8660706 8927505 10713006 12991059 14434510 17855010 21651765 25982118 26782515 38973177 41860079 43303530 53565030 64955295 77946354 83720158 125580237 129910590 194865885 209300395 251160474 376740711 389731770 418600790 627901185 753481422 1130222133 1255802370 1883703555 2260444266 3767407110 5651110665 11302221330