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11410042200 = 2335222378501
BaseRepresentation
bin10101010000001011…
…10110110101011000
31002110012000012101120
422220011312311120
5141331432322300
65124112445240
7552515521104
oct125005666530
932405005346
1011410042200
114925742647
122265249820
1310cab73a7b
147a352a904
1546ba883a0
hex2a8176d58

11410042200 has 96 divisors (see below), whose sum is σ = 35391105360. Its totient is φ = 3040960000.

The previous prime is 11410042157. The next prime is 11410042213. The reversal of 11410042200 is 224001411.

It is a super-4 number, since 4×114100422004 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11410042200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337950 + ... + 1346450.

Almost surely, 211410042200 is an apocalyptic number.

11410042200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11410042200 is an abundant number, since it is smaller than the sum of its proper divisors (23981063160).

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

11410042200 is a wasteful number, since it uses less digits than its factorization.

11410042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10757 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11410042200 its reverse (224001411), we get a palindrome (11634043611).

The spelling of 11410042200 in words is "eleven billion, four hundred ten million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2237 4474 6711 8501 8948 11185 13422 17002 17896 22370 25503 26844 33555 34004 42505 44740 51006 53688 55925 67110 68008 85010 89480 102012 111850 127515 134220 167775 170020 204024 212525 223700 255030 268440 335550 340040 425050 447400 510060 637575 671100 850100 1020120 1275150 1342200 1700200 2550300 5100600 19016737 38033474 57050211 76066948 95083685 114100422 152133896 190167370 228200844 285251055 380334740 456401688 475418425 570502110 760669480 950836850 1141004220 1426255275 1901673700 2282008440 2852510550 3803347400 5705021100 11410042200