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141231220 = 225133753277
BaseRepresentation
bin10000110101100…
…00010001110100
3100211202021210221
420122300101310
5242123344340
622003024124
73333305554
oct1032602164
9324667727
10141231220
11727a3119
123b36b044
132334b890
1414a85164
15c5eb44a
hex86b0474

141231220 has 96 divisors (see below), whose sum is σ = 335428128. Its totient is φ = 49600512.

The previous prime is 141231197. The next prime is 141231253. The reversal of 141231220 is 22132141.

It can be written as a sum of positive squares in 16 ways, for example, as 31945104 + 109286116 = 5652^2 + 10454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141231194 and 141231203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 509722 + ... + 509998.

It is an arithmetic number, because the mean of its divisors is an integer number (3494043).

Almost surely, 2141231220 is an apocalyptic number.

141231220 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 141231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167714064).

141231220 is an abundant number, since it is smaller than the sum of its proper divisors (194196908).

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

141231220 is a wasteful number, since it uses less digits than its factorization.

141231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141231220 is about 11884.0742172035. The cubic root of 141231220 is about 520.7671369452.

Adding to 141231220 its reverse (22132141), we get a palindrome (163363361).

It can be divided in two parts, 141 and 231220, that added together give a square (231361 = 4812).

The spelling of 141231220 in words is "one hundred forty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 53 65 74 106 130 148 185 212 260 265 277 370 481 530 554 689 740 962 1060 1108 1378 1385 1924 1961 2405 2756 2770 3445 3601 3922 4810 5540 6890 7202 7844 9620 9805 10249 13780 14404 14681 18005 19610 20498 25493 29362 36010 39220 40996 50986 51245 58724 72020 73405 101972 102490 127465 133237 146810 190853 204980 254930 266474 293620 381706 509860 532948 543197 666185 763412 954265 1086394 1332370 1908530 2172788 2664740 2715985 3817060 5431970 7061561 10863940 14123122 28246244 35307805 70615610 141231220