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141231000 = 23353179263
BaseRepresentation
bin10000110101100…
…00001110011000
3100211202021111210
420122300032120
5242123343000
622003023120
73333305121
oct1032601630
9324667453
10141231000
11727a2a39
123b36aaa0
132334b751
1414a85048
15c5eb350
hex86b0398

141231000 has 128 divisors (see below), whose sum is σ = 444787200. Its totient is φ = 37308800.

The previous prime is 141230989. The next prime is 141231007. The reversal of 141231000 is 132141.

It is a happy number.

It is a super-2 number, since 2×1412310002 = 39892390722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141231007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 536869 + ... + 537131.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2141231000 is an apocalyptic number.

141231000 is a gapful number since it is divisible by the number (10) 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 141231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

141231000 is an abundant number, since it is smaller than the sum of its proper divisors (303556200).

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

141231000 is a wasteful number, since it uses less digits than its factorization.

141231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 141231000 is about 11884.0649611149. The cubic root of 141231000 is about 520.7668665403.

Adding to 141231000 its reverse (132141), we get a palindrome (141363141).

The spelling of 141231000 in words is "one hundred forty-one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 263 300 358 375 500 526 537 600 716 750 789 895 1000 1052 1074 1315 1432 1500 1578 1790 2104 2148 2630 2685 3000 3156 3580 3945 4296 4475 5260 5370 6312 6575 7160 7890 8950 10520 10740 13150 13425 15780 17900 19725 21480 22375 26300 26850 31560 32875 35800 39450 44750 47077 52600 53700 65750 67125 78900 89500 94154 98625 107400 131500 134250 141231 157800 179000 188308 197250 235385 263000 268500 282462 376616 394500 470770 537000 564924 706155 789000 941540 1129848 1176925 1412310 1883080 2353850 2824620 3530775 4707700 5649240 5884625 7061550 9415400 11769250 14123100 17653875 23538500 28246200 35307750 47077000 70615500 141231000