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11100433124040 = 23351323330539323
BaseRepresentation
bin1010000110001000010101…
…0111111000101011001000
31110022012011021022000001020
42201202011113320223020
52423332141334432130
635335245113552440
72223660036513201
oct241420527705310
943265137260036
1011100433124040
11359a738124567
1212b3408715720
136269c68a1cc0
142a5399d405a8
15143b3394be10
hexa18855f8ac8

11100433124040 has 128 divisors (see below), whose sum is σ = 36016857152640. Its totient is φ = 2720687118336.

The previous prime is 11100433124021. The next prime is 11100433124111. The reversal of 11100433124040 is 4042133400111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11100433124040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14906182 + ... + 15633141.

It is an arithmetic number, because the mean of its divisors is an integer number (281381696505).

Almost surely, 211100433124040 is an apocalyptic number.

11100433124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100433124040 is an abundant number, since it is smaller than the sum of its proper divisors (24916424028600).

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

11100433124040 is a wasteful number, since it uses less digits than its factorization.

11100433124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30539583 (or 30539579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11100433124040 its reverse (4042133400111), we get a palindrome (15142566524151).

The spelling of 11100433124040 in words is "eleven trillion, one hundred billion, four hundred thirty-three million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 233 260 312 390 466 520 699 780 932 1165 1398 1560 1864 2330 2796 3029 3495 4660 5592 6058 6990 9087 9320 12116 13980 15145 18174 24232 27960 30290 36348 45435 60580 72696 90870 121160 181740 363480 30539323 61078646 91617969 122157292 152696615 183235938 244314584 305393230 366471876 397011199 458089845 610786460 732943752 794022398 916179690 1191033597 1221572920 1588044796 1832359380 1985055995 2382067194 3176089592 3664718760 3970111990 4764134388 5955167985 7115662259 7940223980 9528268776 11910335970 14231324518 15880447960 21346986777 23820671940 28462649036 35578311295 42693973554 47641343880 56925298072 71156622590 85387947108 92503609367 106734933885 142313245180 170775894216 185007218734 213469867770 277510828101 284626490360 370014437468 426939735540 462518046835 555021656202 740028874936 853879471080 925036093670 1110043312404 1387554140505 1850072187340 2220086624808 2775108281010 3700144374680 5550216562020 11100433124040