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4131042012 = 22331031093407
BaseRepresentation
bin1111011000111010…
…1011001011011100
3101122220021200022000
43312032223023130
531430021321022
61521530322300
7204241164156
oct36616531334
911586250260
104131042012
11182a958009
12973589390
1350ab13576
142b2905ad6
15192a0c6ac
hexf63ab2dc

4131042012 has 96 divisors (see below), whose sum is σ = 10916505600. Its totient is φ = 1350737856.

The previous prime is 4131042001. The next prime is 4131042049. The reversal of 4131042012 is 2102401314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210813 + ... + 1214219.

It is an arithmetic number, because the mean of its divisors is an integer number (113713600).

Almost surely, 24131042012 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 4131042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458252800).

4131042012 is an abundant number, since it is smaller than the sum of its proper divisors (6785463588).

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

4131042012 is a wasteful number, since it uses less digits than its factorization.

4131042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4131042012 is about 64273.1826814263. The cubic root of 4131042012 is about 1604.5498117238.

Adding to 4131042012 its reverse (2102401314), we get a palindrome (6233443326).

The spelling of 4131042012 in words is "four billion, one hundred thirty-one million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 109 206 218 309 327 412 436 618 654 927 981 1236 1308 1854 1962 2781 2943 3407 3708 3924 5562 5886 6814 10221 11124 11227 11772 13628 20442 22454 30663 33681 40884 44908 61326 67362 91989 101043 122652 134724 183978 202086 303129 350921 367956 371363 404172 606258 701842 742726 1052763 1114089 1212516 1403684 1485452 2105526 2228178 3158289 3342267 4211052 4456356 6316578 6684534 9474867 10026801 12633156 13369068 18949734 20053602 37899468 38250389 40107204 76500778 114751167 153001556 229502334 344253501 459004668 688507002 1032760503 1377014004 2065521006 4131042012