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141231012 = 223131078461
BaseRepresentation
bin10000110101100…
…00001110100100
3100211202021112020
420122300032210
5242123343022
622003023140
73333305136
oct1032601644
9324667466
10141231012
11727a2a4a
123b36aab0
132334b760
1414a85056
15c5eb35c
hex86b03a4

141231012 has 48 divisors (see below), whose sum is σ = 358247232. Its totient is φ = 43044480.

The previous prime is 141231007. The next prime is 141231037. The reversal of 141231012 is 210132141.

141231012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141230982 and 141231000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12462 + ... + 20922.

It is an arithmetic number, because the mean of its divisors is an integer number (7463484).

Almost surely, 2141231012 is an apocalyptic number.

141231012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179123616).

141231012 is an abundant number, since it is smaller than the sum of its proper divisors (217016220).

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

141231012 is a wasteful number, since it uses less digits than its factorization.

141231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 141231012 is about 11884.0654659927. The cubic root of 141231012 is about 520.7668812897.

Adding to 141231012 its reverse (210132141), we get a palindrome (351363153).

The spelling of 141231012 in words is "one hundred forty-one million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 8461 16692 16922 25383 33844 50766 101532 109993 219986 329979 439972 659958 905327 1319916 1810654 2715981 3621308 5431962 10863924 11769251 23538502 35307753 47077004 70615506 141231012