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11120041324100 = 2252412712205201
BaseRepresentation
bin1010000111010001011000…
…0111001110111001000100
31110101001202210120202211002
42201310112013032321010
52424142321034332400
635352250525432432
72225252663460212
oct241642607167104
943331683522732
1011120041324100
1135a7a8a479485
1212b717b40b718
13628800049847
142a62da197cb2
151443d00c3ed5
hexa1d161cee44

11120041324100 has 36 divisors (see below), whose sum is σ = 24719038211028. Its totient is φ = 4339528320000.

The previous prime is 11120041324037. The next prime is 11120041324103. The reversal of 11120041324100 is 142314002111.

It can be written as a sum of positive squares in 6 ways, for example, as 267404820544 + 10852636503556 = 517112^2 + 3294334^2 .

It is a super-3 number, since 3×111200413241003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11120041324103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356098501 + ... + 1356106700.

Almost surely, 211120041324100 is an apocalyptic number.

11120041324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120041324100 is an abundant number, since it is smaller than the sum of its proper divisors (13598996886928).

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

11120041324100 is a wasteful number, since it uses less digits than its factorization.

11120041324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712205256 (or 2712205249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11120041324100 its reverse (142314002111), we get a palindrome (11262355326211).

The spelling of 11120041324100 in words is "eleven trillion, one hundred twenty billion, forty-one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 2712205201 5424410402 10848820804 13561026005 27122052010 54244104020 67805130025 111200413241 135610260050 222400826482 271220520100 444801652964 556002066205 1112004132410 2224008264820 2780010331025 5560020662050 11120041324100