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111124313121040 = 2451389053914013
BaseRepresentation
bin11001010001000100100101…
…001101011010000100010000
3112120110101021110001001212021
4121101010211031122010100
5104031130043124333130
61032201445451541224
732256316033413112
oct3121044515320420
9476411243031767
10111124313121040
113245361382a94a
121056877775a814
134a00c931b8b8b
141d626344713b2
15cca8e990637a
hex65112535a110

111124313121040 has 20 divisors (see below), whose sum is σ = 258364028006604. Its totient is φ = 44449725248384.

The previous prime is 111124313121011. The next prime is 111124313121061. The reversal of 111124313121040 is 40121313421111.

It can be written as a sum of positive squares in 2 ways, for example, as 35521218561024 + 75603094560016 = 5959968^2 + 8695004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1111243131210402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111124313120996 and 111124313121014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694526956927 + ... + 694526957086.

Almost surely, 2111124313121040 is an apocalyptic number.

111124313121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111124313121040 is an abundant number, since it is smaller than the sum of its proper divisors (147239714885564).

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

111124313121040 is a wasteful number, since it uses less digits than its factorization.

111124313121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389053914026 (or 1389053914020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 111124313121040 its reverse (40121313421111), we get a palindrome (151245626542151).

The spelling of 111124313121040 in words is "one hundred eleven trillion, one hundred twenty-four billion, three hundred thirteen million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1389053914013 2778107828026 5556215656052 6945269570065 11112431312104 13890539140130 22224862624208 27781078280260 55562156560520 111124313121040