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112525525211 = 11101101283101
BaseRepresentation
bin110100011001100001…
…0110100000011011011
3101202110002121221122212
41220303002310003123
53320423013301321
6123405444305335
711062326116501
oct1506302640333
9352402557585
10112525525211
11437a37a8630
12199846a224b
13a7c37c5618
14563679a671
152dd8bb655b
hex1a330b40db

112525525211 has 8 divisors (see below), whose sum is σ = 123970516848. Its totient is φ = 101283100000.

The previous prime is 112525525193. The next prime is 112525525271.

112525525211 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112525525211 is a prime.

It is a super-2 number, since 2×1125255252112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112525525271) 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 7 ways as a sum of consecutive naturals, for example, 50640440 + ... + 50642661.

It is an arithmetic number, because the mean of its divisors is an integer number (15496314606).

Almost surely, 2112525525211 is an apocalyptic number.

112525525211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112525525211 is a deficient number, since it is larger than the sum of its proper divisors (11444991637).

112525525211 is a wasteful number, since it uses less digits than its factorization.

112525525211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101283213.

The product of its digits is 10000, while the sum is 32.

It can be divided in two parts, 112525 and 525211, that added together give a palindrome (637736).

The spelling of 112525525211 in words is "one hundred twelve billion, five hundred twenty-five million, five hundred twenty-five thousand, two hundred eleven".

Divisors: 1 11 101 1111 101283101 1114114111 10229593201 112525525211