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11124031320 = 2334531110753
BaseRepresentation
bin10100101110000101…
…10011111101011000
31001201020211100020000
422113002303331120
5140240223000240
65035454333000
7542443464123
oct122702637530
931636740200
1011124031320
114799253416
1221a54ba160
13108383346c
147775593ba
154518de430
hex2970b3f58

11124031320 has 160 divisors (see below), whose sum is σ = 38595553920. Its totient is φ = 2870691840.

The previous prime is 11124031301. The next prime is 11124031337. The reversal of 11124031320 is 2313042111.

11124031320 is a `hidden beast` number, since 111 + 240 + 313 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11124031293 and 11124031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45064 + ... + 155816.

It is an arithmetic number, because the mean of its divisors is an integer number (241222212).

Almost surely, 211124031320 is an apocalyptic number.

11124031320 is a gapful number since it is divisible by the number (10) 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 11124031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297776960).

11124031320 is an abundant number, since it is smaller than the sum of its proper divisors (27471522600).

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

11124031320 is a wasteful number, since it uses less digits than its factorization.

11124031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110807 (or 110794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11124031320 its reverse (2313042111), we get a palindrome (13437073431).

The spelling of 11124031320 in words is "eleven billion, one hundred twenty-four million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1240 1395 1620 1674 1860 2232 2511 2790 3240 3348 3720 4185 5022 5580 6696 8370 10044 11160 12555 16740 20088 25110 33480 50220 100440 110753 221506 332259 443012 553765 664518 886024 996777 1107530 1329036 1661295 1993554 2215060 2658072 2990331 3322590 3433343 3987108 4430120 4983885 5980662 6645180 6866686 7974216 8970993 9967770 10300029 11961324 13290360 13733372 14951655 17166715 17941986 19935540 20600058 23922648 27466744 29903310 30900087 34333430 35883972 39871080 41200116 44854965 51500145 59806620 61800174 68666860 71767944 82400232 89709930 92700261 103000290 119613240 123600348 137333720 154500435 179419860 185400522 206000580 247200696 278100783 309000870 358839720 370801044 412001160 463501305 556201566 618001740 741602088 927002610 1112403132 1236003480 1390503915 1854005220 2224806264 2781007830 3708010440 5562015660 11124031320