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1311210112 = 2722745127
BaseRepresentation
bin100111000100111…
…0111101010000000
310101101021101010111
41032021313222000
510141132210422
6334035441104
744331050002
oct11611675200
93341241114
101311210112
11613164623
12307156194
1317b861594
14c61dc372
157a1a6a77
hex4e277a80

1311210112 has 32 divisors (see below), whose sum is σ = 2623741920. Its totient is φ = 652702464.

The previous prime is 1311210091. The next prime is 1311210113. The reversal of 1311210112 is 2110121131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13112101122 = 3438543915622105088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311210092 and 1311210101.

It is not an unprimeable number, because it can be changed into a prime (1311210113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6493 + ... + 51619.

It is an arithmetic number, because the mean of its divisors is an integer number (81991935).

Almost surely, 21311210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311870960).

1311210112 is an abundant number, since it is smaller than the sum of its proper divisors (1312531808).

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

1311210112 is an equidigital number, since it uses as much as digits as its factorization.

1311210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45368 (or 45356 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1311210112 is about 36210.6353437771. The cubic root of 1311210112 is about 1094.5209950809.

Adding to 1311210112 its reverse (2110121131), we get a palindrome (3421331243).

The spelling of 1311210112 in words is "one billion, three hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 3632 7264 14528 29056 45127 90254 180508 361016 722032 1444064 2888128 5776256 10243829 20487658 40975316 81950632 163901264 327802528 655605056 1311210112