Search a number
-
+
11112110201120 = 255151253459169
BaseRepresentation
bin1010000110110011110101…
…1000011001100100100000
31110100022022001202222102112
42201230331120121210200
52424030100202413440
635344455530134452
72224552310155535
oct241547530314440
943308261688375
1011112110201120
1135a468a575395
1212b5727281428
13627b37b71076
142a5b86adcd8c
151440b8b81965
hexa1b3d619920

11112110201120 has 48 divisors (see below), whose sum is σ = 26252591090040. Its totient is φ = 4444805013504.

The previous prime is 11112110201053. The next prime is 11112110201161. The reversal of 11112110201120 is 2110201121111.

It can be written as a sum of positive squares in 4 ways, for example, as 11049428068624 + 62682132496 = 3324068^2 + 250364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11112110201095 and 11112110201104.

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 7 ways as a sum of consecutive naturals, for example, 23970896 + ... + 24430064.

Almost surely, 211112110201120 is an apocalyptic number.

11112110201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112110201120 is an abundant number, since it is smaller than the sum of its proper divisors (15140480888920).

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

11112110201120 is a wasteful number, since it uses less digits than its factorization.

11112110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610437 (or 610429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11112110201120 its reverse (2110201121111), we get a palindrome (13222311322231).

The spelling of 11112110201120 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 151253 302506 459169 605012 756265 918338 1210024 1512530 1836676 2295845 2420048 3025060 3673352 4591690 4840096 6050120 7346704 9183380 12100240 14693408 18366760 24200480 36733520 73467040 69450688757 138901377514 277802755028 347253443785 555605510056 694506887570 1111211020112 1389013775140 2222422040224 2778027550280 5556055100560 11112110201120