Search a number
-
+
11411240135100 = 22352134762254447
BaseRepresentation
bin1010011000001110001011…
…1010100010100110111100
31111101220101221112001222020
42212003202322202212330
52443430204433310400
640134130142520140
72255302111514451
oct246034272424674
944356357461866
1011411240135100
1136aa530625163
1213436a9296050
1364a0c96571c0
142b6442477828
1514bc74c782a0
hexa60e2ea29bc

11411240135100 has 144 divisors (see below), whose sum is σ = 36312770500608. Its totient is φ = 2749156335360.

The previous prime is 11411240135081. The next prime is 11411240135129. The reversal of 11411240135100 is 153104211411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30943924 + ... + 31310523.

Almost surely, 211411240135100 is an apocalyptic number.

11411240135100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411240135100 is an abundant number, since it is smaller than the sum of its proper divisors (24901530365508).

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

11411240135100 is a wasteful number, since it uses less digits than its factorization.

11411240135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62254524 (or 62254517 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11411240135100 its reverse (153104211411), we get a palindrome (11564344346511).

The spelling of 11411240135100 in words is "eleven trillion, four hundred eleven billion, two hundred forty million, one hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 188 195 235 260 282 300 325 390 470 564 611 650 705 780 940 975 1175 1222 1300 1410 1833 1950 2350 2444 2820 3055 3525 3666 3900 4700 6110 7050 7332 9165 12220 14100 15275 18330 30550 36660 45825 61100 91650 183300 62254447 124508894 186763341 249017788 311272235 373526682 622544470 747053364 809307811 933816705 1245088940 1556361175 1618615622 1867633410 2427923433 2925959009 3112722350 3237231244 3735266820 4046539055 4669083525 4855846866 5851918018 6225444700 8093078110 8777877027 9338167050 9711693732 11703836036 12139617165 14629795045 16186156220 17555754054 18676334100 20232695275 24279234330 29259590090 35111508108 38037467117 40465390550 43889385135 48558468660 58519180180 60698085825 73148975225 76074934234 80930781100 87778770270 114112401351 121396171650 146297950450 152149868468 175557540540 190187335585 219446925675 228224802702 242792343300 292595900900 380374671170 438893851350 456449605404 570562006755 760749342340 877787702700 950936677925 1141124013510 1901873355850 2282248027020 2852810033775 3803746711700 5705620067550 11411240135100