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112011112005 = 351333499739
BaseRepresentation
bin110100001010001100…
…0011110111001000101
3101201010020200001101220
41220110120132321011
53313344321041010
6123242430510553
711043511512522
oct1502430367105
9351106601356
10112011112005
114355a397351
1219860365459
13a741065000
1455c8332149
152da8952970
hex1a1461ee45

112011112005 has 64 divisors (see below), whose sum is σ = 194722080000. Its totient is φ = 54980280576.

The previous prime is 112011111991. The next prime is 112011112009. The reversal of 112011112005 is 500211110211.

It is not a de Polignac number, because 112011112005 - 26 = 112011111941 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011112009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11496426 + ... + 11506164.

It is an arithmetic number, because the mean of its divisors is an integer number (3042532500).

Almost surely, 2112011112005 is an apocalyptic number.

112011112005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112011112005 is a deficient number, since it is larger than the sum of its proper divisors (82710967995).

112011112005 is an equidigital number, since it uses as much as digits as its factorization.

112011112005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 112011112005 its reverse (500211110211), we get a palindrome (612222222216).

The spelling of 112011112005 in words is "one hundred twelve billion, eleven million, one hundred twelve thousand, five".

Divisors: 1 3 5 13 15 39 65 169 195 349 507 845 1047 1745 2197 2535 4537 5235 6591 9739 10985 13611 22685 29217 32955 48695 58981 68055 126607 146085 176943 294905 379821 633035 766753 884715 1645891 1899105 2300259 3398911 3833765 4937673 8229455 10196733 11501295 16994555 21396583 24688365 44185843 50983665 64189749 106982915 132557529 220929215 320948745 574415959 662787645 1723247877 2872079795 7467407467 8616239385 22402222401 37337037335 112011112005