Search a number
-
+
2031443314131 = 3721147151177019
BaseRepresentation
bin11101100011111011011…
…101010000010111010011
321012012111202222201010010
4131203323131100113103
5231240343442023011
64153122052210003
7266524026156600
oct35437335202723
97165452881103
102031443314131
11713591878110
1228985a309903
131197449620aa
14704728836a7
1537c986a51a6
hex1d8fb7505d3

2031443314131 has 96 divisors (see below), whose sum is σ = 3533647749120. Its totient is φ = 1025996328000.

The previous prime is 2031443314127. The next prime is 2031443314139. The reversal of 2031443314131 is 1314133441302.

It is not a de Polignac number, because 2031443314131 - 22 = 2031443314127 is a prime.

It is a super-2 number, since 2×20314433141312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2031443314139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11387340 + ... + 11564358.

It is an arithmetic number, because the mean of its divisors is an integer number (36808830720).

Almost surely, 22031443314131 is an apocalyptic number.

2031443314131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2031443314131 is a deficient number, since it is larger than the sum of its proper divisors (1502204434989).

2031443314131 is a wasteful number, since it uses less digits than its factorization.

2031443314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177245 (or 177238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 2031443314131 its reverse (1314133441302), we get a palindrome (3345576755433).

The spelling of 2031443314131 in words is "two trillion, thirty-one billion, four hundred forty-three million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 151 231 329 453 517 539 987 1057 1551 1617 1661 2303 3171 3619 4983 6909 7097 7399 10857 11627 21291 22197 25333 34881 49679 75999 78067 81389 149037 177019 234201 244167 347753 531057 546469 1043259 1239133 1639407 1947209 3717399 3825283 5841627 8319893 8673931 11475849 13630463 24959679 26021793 26729869 40891389 58239251 80189607 91518823 95413241 174717753 187109083 274556469 286239723 294028559 407674757 561327249 640631761 882085677 1223024271 1256303843 1309763581 1921895283 2058199913 3768911529 3929290743 4484422327 6174599739 8794126901 13453266981 13819342273 14407399391 26382380703 41458026819 43222198173 61558888307 96735395911 184676664921 290206187733 677147771377 2031443314131