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11111020111100 = 22527131771823013
BaseRepresentation
bin1010000110101111110001…
…1010000010010011111100
31110100012111002120200001002
42201223330122002103330
52424020332122023400
635344155425505432
72224513302435530
oct241537432022374
943305432520032
1011111020111100
1135a4180209648
1212b54821a2278
136279c307cca0
142a5ac201dbc0
15144053106ed5
hexa1afc6824fc

11111020111100 has 144 divisors (see below), whose sum is σ = 31420557580608. Its totient is φ = 3309604392960.

The previous prime is 11111020111099. The next prime is 11111020111111. The reversal of 11111020111100 is 111102011111.

It is a happy number.

11111020111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35756807 + ... + 36066206.

It is an arithmetic number, because the mean of its divisors is an integer number (218198316532).

Almost surely, 211111020111100 is an apocalyptic number.

11111020111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111020111100 is an abundant number, since it is smaller than the sum of its proper divisors (20309537469508).

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

11111020111100 is a wasteful number, since it uses less digits than its factorization.

11111020111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71823064 (or 71823057 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11111020111100 its reverse (111102011111), we get a palindrome (11222122122211).

The spelling of 11111020111100 in words is "eleven trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 130 140 170 175 182 221 238 260 325 340 350 364 425 442 455 476 595 650 700 850 884 910 1105 1190 1300 1547 1700 1820 2210 2275 2380 2975 3094 4420 4550 5525 5950 6188 7735 9100 11050 11900 15470 22100 30940 38675 77350 154700 71823013 143646026 287292052 359115065 502761091 718230130 933699169 1005522182 1220991221 1436460260 1795575325 1867398338 2011044364 2441982442 2513805455 3591150650 3734796676 4668495845 4883964884 5027610910 6104956105 6535894183 7182301300 8546938547 9336991690 10055221820 12209912210 12569027275 13071788366 15872885873 17093877094 18673983380 23342479225 24419824420 25138054550 26143576732 30524780525 31745771746 32679470915 34187754188 42734692735 46684958450 50276109100 61049561050 63491543492 65358941830 79364429365 85469385470 93369916900 111110201111 122099122100 130717883660 158728858730 163397354575 170938770940 213673463675 222220402222 317457717460 326794709150 396822146825 427346927350 444440804444 555551005555 653589418300 793644293650 854693854700 1111102011110 1587288587300 2222204022220 2777755027775 5555510055550 11111020111100