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112130010133 = 1764176913381
BaseRepresentation
bin110100001101101111…
…0000010110000010101
3101201102112101200222021
41220123132002300111
53314120240311013
6123302315133141
711046454234351
oct1503336026025
9351375350867
10112130010133
1143610516269
12198941441b1
13a75c89452b
1455da042461
152db40dba8d
hex1a1b782c15

112130010133 has 16 divisors (see below), whose sum is σ = 119074641840. Its totient is φ = 105224601600.

The previous prime is 112130010089. The next prime is 112130010149. The reversal of 112130010133 is 331010031211.

It can be written as a sum of positive squares in 8 ways, for example, as 1412106084 + 110717904049 = 37578^2 + 332743^2 .

It is a cyclic number.

It is not a de Polignac number, because 112130010133 - 229 = 111593139221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130016133) 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 15 ways as a sum of consecutive naturals, for example, 8373103 + ... + 8386483.

It is an arithmetic number, because the mean of its divisors is an integer number (7442165115).

Almost surely, 2112130010133 is an apocalyptic number.

It is an amenable number.

112130010133 is a deficient number, since it is larger than the sum of its proper divisors (6944631707).

112130010133 is a wasteful number, since it uses less digits than its factorization.

112130010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 112130010133 its reverse (331010031211), we get a palindrome (443140041344).

The spelling of 112130010133 in words is "one hundred twelve billion, one hundred thirty million, ten thousand, one hundred thirty-three".

Divisors: 1 17 641 769 10897 13073 13381 227477 492929 8379793 8577221 10289989 145812757 174929813 6595882949 112130010133